Mathematical Combinatorics International Book Series Volume 2 2009

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MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), VOLUME 2, 2009

Author : Linfan Mao
Publisher : Infinite Study
ISBN 13 :
Total Pages : 110 pages
Book Rating : 4./5 ( download)

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Book Synopsis MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), VOLUME 2, 2009 by : Linfan Mao

Download or read book MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), VOLUME 2, 2009 written by Linfan Mao and published by Infinite Study. This book was released on 2009-09-17 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers by many authors about the Smarandache Bol Loops, Smarandachely Precontinuous maps and Preopen Sets, Smarandache quasigroups and loops, Smarandache right inverse, Smarandache bijections, Smarandache permutation(symmetric) group[S-permutation group], Smarandache path k-cover, Smarandache space, Smarandache k-tiling, Smarandachely dominating k-set, Smarandache graphoidal tree (k, d)-cover of a graph, Smarandache k-orientation, Smarandache k-tree, Smarandache k-orientation, Smarandache geometries etc.

Mathematical Combinatorics, Vol. 2/2009

Author : Linfan Mao
Publisher : Infinite Study
ISBN 13 : 1599731053
Total Pages : 110 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Mathematical Combinatorics, Vol. 2/2009 by : Linfan Mao

Download or read book Mathematical Combinatorics, Vol. 2/2009 written by Linfan Mao and published by Infinite Study. This book was released on 2009 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a colection of articles on smarandache notions in graph theory, combinatorics.

MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), VOLUME 3, 2009

Author : Linfan Mao
Publisher : Infinite Study
ISBN 13 :
Total Pages : 123 pages
Book Rating : 4./5 ( download)

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Book Synopsis MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), VOLUME 3, 2009 by : Linfan Mao

Download or read book MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), VOLUME 3, 2009 written by Linfan Mao and published by Infinite Study. This book was released on 2009-02-22 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers by many authors about the Chromatic Polynomial of Smarandache νE-Product of Graphs, Smarandachely k-Constrained Number of Paths and Cycles, Smarandache multi-space, Smarandachely Schwarzschild space, Smarandachely degree equitable k-set, Smarandachely labeling, Smarandachely k − constrained labeling, Smarandache space, Smarandachely achromatic 1-coloring for the central graph, middle graph, total graph and line graph of double star graph, Smarandachely edge m-labeling, Smarandachely super m-mean labeling, etc.

MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), VOLUME 2, 2016

Author : L. Mao
Publisher : Infinite Study
ISBN 13 : 1599734745
Total Pages : 168 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), VOLUME 2, 2016 by : L. Mao

Download or read book MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), VOLUME 2, 2016 written by L. Mao and published by Infinite Study. This book was released on with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume has 15 papers: Paper 1: Smarandache Curves Paper 2. Ruled Surface Pair Paper 3. Tutte Polynomial Paper 4.Entire Equitable Dominating Graph and Smarandachely dominating set. Paper 5. Radio Mean Number of Graphs Paper 6. Modified Schultz Index Paper 7. Folding of Cayley Graphs Paper 8. The Merrifield-Simmons Index Paper 9. Linear Codes Over Non-Chain Ring Paper 10. Nonsplit Geodetic Number and Smarandachely k- geodetic set, Paper 11. k-Difference cordial labeling and Smarandachely k-difference cordial labeling. Paper 12.Traversability and Covering Invariant Paper 13. Different Labelings. paper 14. Armed Cap Cordial Labeling and Smarandache ∧ cordial labeling Paper 15.Traffic Congestion

MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), VOLUME 3, 2015

Author : L. Mao
Publisher : Infinite Study
ISBN 13 : 1599733773
Total Pages : 141 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), VOLUME 3, 2015 by : L. Mao

Download or read book MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), VOLUME 3, 2015 written by L. Mao and published by Infinite Study. This book was released on with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents A Calculus and Algebra Derived from Directed Graph Algebras By Kh.Shahbazpour and Mahdihe Nouri . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 01 Superior Edge Bimagic Labelling By R.Jagadesh and J.Baskar Babujee . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 Spherical Images of Special Smarandache Curves in E3 By Vahide Bulut and Ali Caliskan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 Variations of Orthogonality of Latin Squares By Vadiraja Bhatta G.R. and B.R.Shankar. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .55 The Minimum Equitable Domination Energy of a Graph By P.Rajendra and R.Rangarajan. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 Some Results on Relaxed Mean Labeling By V.Maheswari, D.S.T.Ramesh and V.Balaji . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 Split Geodetic Number of a Line Graph By Venkanagouda M Goudar and Ashalatha K.S . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81 Skolem Difference Odd Mean Labeling For Some Simple Graphs By R.Vasuki, J.Venkateswari and G.Pooranam . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88 Radio Number for Special Family of Graphs with Diameter 2, 3 and 4 By M.Murugan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99 Vertex-to-Edge-set Distance Neighborhood Pattern Matrices By Kishori P.Narayankar and Lokesh S. B. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105 Extended Results on Complementary Tree Domination Number and Chromatic Number of Graphs By S.Muthammai and P.Vidhya . . . . . . . . . . . . . . . . . . . . . . . 116 On Integer Additive Set-Sequential Graphs By N.K.Sudev and K.A.Germina . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125

Mathematical Combinatorics (international Book Series).

Author : Linfan Mao
Publisher :
ISBN 13 : 9781461913764
Total Pages : 126 pages
Book Rating : 4.9/5 (137 download)

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Book Synopsis Mathematical Combinatorics (international Book Series). by : Linfan Mao

Download or read book Mathematical Combinatorics (international Book Series). written by Linfan Mao and published by . This book was released on 2007 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:

MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), Vol. 2, 2020

Author : Linfan Mao
Publisher : Infinite Study
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4./5 ( download)

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Book Synopsis MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), Vol. 2, 2020 by : Linfan Mao

Download or read book MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), Vol. 2, 2020 written by Linfan Mao and published by Infinite Study. This book was released on with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical combinatorics is a subject that applying combinatorial notions to all mathematics and all sciences for understanding the reality of things in the universe, motivated by CC Conjecture of Dr. Linfan MAO on mathematical sciences. The International J. Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.

MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), Vol. 2, 2017

Author : Linfan Mao
Publisher : Infinite Study
ISBN 13 : 1599735253
Total Pages : 142 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), Vol. 2, 2017 by : Linfan Mao

Download or read book MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), Vol. 2, 2017 written by Linfan Mao and published by Infinite Study. This book was released on with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paper 1: Differential curves, Bertrand curves pair, ruled surfaces. Paper 2: (my paper) Banach space, Smarandache multispace, complex system, non-solvable equation, mathematical combinatorics. Paper 3: Zagreb index, molecular topological index, bipartite graph. Paper 4: D-conformal curvature tensor, η-Einstein manifold. Paper 5: Hypergraph, Smarandachely linear. Paper 6: Ruled surface, parallel surface. Paper 7: Smarandachely H-rainbow connected, rainbow connected, rainbow connection number. Paper 8: Darboux vector, Smarandache curves. Paper 9: Smarandache power root mean labeling, F-root square mean labeling. Paper 10: Smarandachely k-prime labelling, k-prime labelling. Paper 11: graceful labeling, α-labeling. Paper 12: supereulerian digraph, semicomplete digraph, locally semicomplete multipartite digraph. Paper 13: Smarandachely edge m-labeling, skolem mean labeling. Keywords: Smarandache multispace, Smarandachely linear, Smarandachely H-rainbow connected, Smarandache power root mean labeling, Smarandachely k-prime labelling, Smarandachely edge m-labeling

Mathematical Combinatorics, Vol. 4/2009

Author : Linfan Mao
Publisher : Infinite Study
ISBN 13 : 1599731150
Total Pages : 117 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Mathematical Combinatorics, Vol. 4/2009 by : Linfan Mao

Download or read book Mathematical Combinatorics, Vol. 4/2009 written by Linfan Mao and published by Infinite Study. This book was released on with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on Smarandachely Bondage Number of a Graph, Domination Number in 4-Regular Graphs, On Smarandachely Harmonic Graphs, Independent Complementary Distance Pattern Uniform Graphs, Efficient Domination in Bi-Cayley Graphs, and other topics. Contributors: D.D. Somashekara, C.R. Veena, Aysun Aytac, Elgin Kilic, Agboola A.A.A., D Akinola L.S., K. R. Vasuki, G. Sharath, E. Sampathkumar, P. Siva Kota Reddy, M.S. Subramanya, Liangxia Wan, Hongjian Lai, Yanpei Liu, and others

International Journal of Mathematical Combinatorics, Volume 2, 2009

Author : Linfan Mao
Publisher : Infinite Study
ISBN 13 :
Total Pages : 110 pages
Book Rating : 4./5 ( download)

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Book Synopsis International Journal of Mathematical Combinatorics, Volume 2, 2009 by : Linfan Mao

Download or read book International Journal of Mathematical Combinatorics, Volume 2, 2009 written by Linfan Mao and published by Infinite Study. This book was released on with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics in detail to be covered are: Smarandache multi-spaces with applications to other sciences, such as those of algebraic multi-systems, multi-metric spaces; Smarandache geometries; Differential Geometry; Geometry on manifolds; Topological graphs; Algebraic graphs; Random graphs; Combinatorial maps; Graph and map enumeration; Combinatorial designs; Combinatorial enumeration; Other applications of Smarandache multi-space and combinatorics.

MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), Vol. 1, 2020

Author : Linfan Mao
Publisher : Infinite Study
ISBN 13 :
Total Pages : 120 pages
Book Rating : 4./5 ( download)

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Book Synopsis MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), Vol. 1, 2020 by : Linfan Mao

Download or read book MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), Vol. 1, 2020 written by Linfan Mao and published by Infinite Study. This book was released on with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical combinatorics is a subject that applying combinatorial notions to all mathematics and all sciences for understanding the reality of things in the universe, motivated by CC Conjecture of Dr. Linfan MAO on mathematical sciences. The International J. Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.

Mathematical Combinatorics, Vol. 1/2009

Author : Linfan Mao
Publisher : Infinite Study
ISBN 13 : 1599730863
Total Pages : 113 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Mathematical Combinatorics, Vol. 1/2009 by : Linfan Mao

Download or read book Mathematical Combinatorics, Vol. 1/2009 written by Linfan Mao and published by Infinite Study. This book was released on with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on Problems of Persons with Disability (PWD) Using FRMs, Topological Multi-groups and Multi-fields, Involute and Evolute Curves of Spacelike Curve with a Spacelike Principal Normal in Minkowski 3-Space, Smarandache Breadth Pseudo Null Curves in Minkowski Space-time, and similar topics. Contributors: W.B. Vasantha Kandasamy, A.Praveen Prakash, K. Thirusangu, Bahaddin Bukcu, Murat Kemal Karacan, Shreedhark, B. Sooryanarayana, and others.

MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), VOLUME 3, 2016

Author : Linfan MAO
Publisher : Infinite Study
ISBN 13 : 1599734958
Total Pages : 169 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), VOLUME 3, 2016 by : Linfan MAO

Download or read book MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), VOLUME 3, 2016 written by Linfan MAO and published by Infinite Study. This book was released on with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents Spacelike Smarandache Curves of Timelike Curves in Anti de Sitter 3-Space By Mahmut Mak and Hasan Altınba¸s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 01 Conformal Ricci Soliton in Almost C() Manifold By Tamalika Dutta, Arindam Bhattacharyya and Srabani Debnath . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 Labeled Graph – A Mathematical Element By Linfan MAO . . . . . . . . . . . . . . . . . . . . . . . . . . 27 Tchebychev and Brahmagupta Polynomials and Golden Ratio –Two New Interconnections By Shashikala P. and R. Rangarajan . . . . . . . . . . . . . . . . . . . . . 57 On the Quaternionic Normal Curves in the Semi-Euclidean Space E4 2 By ¨Onder G¨okmen Yildiz and Siddika ¨Ozkaldi Karaku¸s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68 Global Equitable Domination Number of Some Wheel Related Graphs By S.K.Vaidya and R.M.Pandit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77 The Pebbling Number of Jahangir Graph J2,m By A.Lourdusamy and T.Mathivanan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86 On 4-Total Product Cordiality of Some Corona Graphs By M.Sivakumar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99 On m-Neighbourly Irregular Instuitionistic Fuzzy Graphs By N.R.Santhi Maheswari and C.Sekar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 Star Edge Coloring of Corona Product of Path with Some Graphs By Kaliraj K., Sivakami R. and Vernold Vivin J. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115 Balance Index Set of Caterpillar and Lobster Graphs By Pradeep G.Bhat and Devadas Nayak C . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .123 Lagrange Space and Generalized Lagrange Space Arising From Metric By M.N.Tripathi and O.P.Pandey . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136 A Study on Hamiltonian Property of Cayley Graphs Over Non-Abelian Groups By A.Riyas and K.Geetha . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141 Mean Cordial Labelling of Some Star-Related Graphs By Ujwala Deshmukh and Vahida Y. Shaikh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 146 Some New Families of Odd Graceful Graphs By Mathew Varkey T.K and Sunoj. B.S . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 158

Mathematical Combinatorics, Vol. 3/2010

Author : Linfan Mao
Publisher : Infinite Study
ISBN 13 : 1599731304
Total Pages : 132 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Mathematical Combinatorics, Vol. 3/2010 by : Linfan Mao

Download or read book Mathematical Combinatorics, Vol. 3/2010 written by Linfan Mao and published by Infinite Study. This book was released on 2010 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematical Combinatorics (International Book Series)(ISBN 978-1-59973-146-9) is a fully refereed international book series, sponsored by the MADISof Chinese Academy of Sciences and published in USA quarterly comprising 100-150 pagesapprox. per volume, which publishes original research papers and survey articles in all aspectsof Smarandache multi-spaces, Smarandache geometries, mathematical combinatorics,non-euclidean geometry and topology and their applications to other sciences. Topics in detailto be covered are:Smarandache multi-spaces with applications to other sciences, such as those of algebraicmulti-systems, multi-metric spaces,· · · , etc.. Smarandache geometries;Differential Geometry; Geometry on manifolds;Topological graphs; Algebraic graphs; Random graphs; Combinatorial maps; Graph andmap enumeration; Combinatorial designs; Combinatorial enumeration;Low Dimensional Topology; Differential Topology; Topology of Manifolds;Geometrical aspects of Mathematical Physics and Relations with Manifold Topology;Applications of Smarandache multi-spaces to theoretical physics; Applications of Combinatoricsto mathematics and theoretical physics;Mathematical theory on gravitational fields; Mathematical theory on parallel universes;Other applications of Smarandache multi-space and combinatorics.Generally, papers on mathematics with its applications not including in above topics arealso welcome.

Mathematical Combinatorics, Vol. 3/2009

Author : Linfan Mao
Publisher : Infinite Study
ISBN 13 : 159973110X
Total Pages : 123 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Mathematical Combinatorics, Vol. 3/2009 by : Linfan Mao

Download or read book Mathematical Combinatorics, Vol. 3/2009 written by Linfan Mao and published by Infinite Study. This book was released on with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on Open Distance-Pattern Uniform Graphs, Some Results on Super Mean Graphs, Achromatic Coloring on Double Star Graph Families, Functions Preserving Convergence of Series in Fuzzy n-Normed Spaces, Smarandachely k-Constrained Number of Paths and Cycles, A Spacetime Geodesics of the Schwarzschild Space and Its Deformation Retract, and other topics. Contributors: Linfan Mao, A. Anitha, S. Arumugam, E. Sampathkumar, Vernold Vivin J., Venkatachalam M., Akbar Ali M.M., Sayed Elagan, Mohamad Rafi Segi Rahmat, Khalil Paryab, Ebrahim Zare, and others.

Mathematical Combinatorics, Vol. 2/2012

Author : Linfan Mao
Publisher : Infinite Study
ISBN 13 : 159973186X
Total Pages : 117 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Mathematical Combinatorics, Vol. 2/2012 by : Linfan Mao

Download or read book Mathematical Combinatorics, Vol. 2/2012 written by Linfan Mao and published by Infinite Study. This book was released on with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on Non-Solvable Spaces of Linear Equation Systems, Roman Domination in Complementary Prism Graphs, On Pathos Total Semitotal and Entire Total Block Graph of a Tree, Distance Two Labeling of Generalized Cacti, Degree Splitting Graph on Graceful, Felicitous and Elegant Labeling, and other topics. Contributors: Agboola A.A.A., Adeleke E.O. Akinleye S.A., B.Chaluvaraju, V.Chaitra, P.Selvaraju, P.Balaganesan, J.Renuka, V.Balaj, Suhua Ye, Yizhi Chen, Hui Luo, and others.

Mathematical Combinatorics, Vol. 2/2010

Author : Linfan Mao
Publisher : Infinite Study
ISBN 13 : 1599730952
Total Pages : 119 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Mathematical Combinatorics, Vol. 2/2010 by : Linfan Mao

Download or read book Mathematical Combinatorics, Vol. 2/2010 written by Linfan Mao and published by Infinite Study. This book was released on with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on Crypto-Automorphism of the Buchsteiner Loops, Generalizations of Poly-Bernoulli Numbers and Polynomials, Open Alliance in Graphs, Forcing Weak Edge Detour Number of a Graph, New Families of Mean Graphs, Euler-Savary Formula for the Lorentzian Planar Homothetic Motions, and other topics. Contributors: Hassan Jolany, M.R. Darafsheh, R. Eizadi Alikelaye, N. Jafari Rad, H. Rezazadeh, H. A. Malathi, H. C. Savithri, A. Nagarajan, S. Navaneetha Krishnan, R. Kala, and others.