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Local Conditions For Cycles In Graphs
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Book Synopsis Local Conditions for Cycles in Graphs by : Jonas Granholm
Download or read book Local Conditions for Cycles in Graphs written by Jonas Granholm and published by Linköping University Electronic Press. This book was released on 2019-05-06 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Hamilton cycle in a graph is a cycle that passes through every vertex of the graph. A graph is called Hamiltonian if it contains such a cycle. The problem of determining if a graph is Hamiltonian has been studied extensively, and there are many known sufficient conditions for Hamiltonicity. A large portion of these conditions relate the degrees of vertices of the graph to the number of vertices in the entire graph, and thus they can only apply to a limited set of graphs with high edge density. In a series of papers, Asratian and Khachatryan developed local analogues of some of these criteria. These results do not suffer from the same drawbacks as their global counterparts, and apply to wider classes of graphs. In this thesis we study this approach of creating local conditions for Hamiltonicity, and use it to develop local analogues of some classic results. We also study how local criteria can influence other global properties of graphs. Finally, we will see how these local conditions can allow us to extend theorems on Hamiltonicity to infinite graphs.
Download or read book Graph Theory written by Ralucca Gera and published by Springer. This book was released on 2018-10-26 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second volume in a two-volume series provides an extensive collection of conjectures and open problems in graph theory. It is designed for both graduate students and established researchers in discrete mathematics who are searching for research ideas and references. Each chapter provides more than a simple collection of results on a particular topic; it captures the reader’s interest with techniques that worked and failed in attempting to solve particular conjectures. The history and origins of specific conjectures and the methods of researching them are also included throughout this volume. Students and researchers can discover how the conjectures have evolved and the various approaches that have been used in an attempt to solve them. An annotated glossary of nearly 300 graph theory parameters, 70 conjectures, and over 600 references is also included in this volume. This glossary provides an understanding of parameters beyond their definitions and enables readers to discover new ideas and new definitions in graph theory. The editors were inspired to create this series of volumes by the popular and well-attended special sessions entitled “My Favorite Graph Theory Conjectures,” which they organized at past AMS meetings. These sessions were held at the winter AMS/MAA Joint Meeting in Boston, January 2012, the SIAM Conference on Discrete Mathematics in Halifax in June 2012, as well as the winter AMS/MAA Joint Meeting in Baltimore in January 2014, at which many of the best-known graph theorists spoke. In an effort to aid in the creation and dissemination of conjectures and open problems, which is crucial to the growth and development of this field, the editors invited these speakers, as well as other experts in graph theory, to contribute to this series.
Book Synopsis Combinatorial Group Testing and Its Applications by : Dingzhu Du
Download or read book Combinatorial Group Testing and Its Applications written by Dingzhu Du and published by World Scientific. This book was released on 2000 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Group testing has been used in medical, chemical and electrical testing, coding, drug screening, pollution control, multiaccess channel management, and recently in data verification, clone library screening and AIDS testing. The mathematical model can be either combinatorial or probabilistic. This book summarizes all important results under the combinatorial model, and demonstrates their applications in real problems. Some other search problems, including the famous counterfeit-coins problem, are also studied in depth. There are two reasons for publishing a second edition of this book. The first is the usual need to update the text (after six years) and correct errors. The second - and more important - reason is to accommodate the recent sudden growth of interest in applying the idea of group testing to clone library screening. This development is much more than just a new application, since the new application brings with it new objectives which require a new twist of theory. It also embraces the growing importance of two topics: nonadaptive algorithms and error tolerance. Two new chapters, one on clone library screening and the other on error tolerance, have been added. Also included is a new chapter on counterfeit coins, the most famous search problem historically, which recently drew on an unexpected connection to some deep mathematical theory to yield new results. Finally, the chapters have been reorganized into parts to provide focuses and perspectives.
Book Synopsis Geometric Graphs and Arrangements by : Stefan Felsner
Download or read book Geometric Graphs and Arrangements written by Stefan Felsner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the intuitively appealing aspects of graph theory is its close connection to drawings and geometry. The development of computer technology has become a source of motivation to reconsider these connections, in particular geometric graphs are emerging as a new subfield of graph theory. Arrangements of points and lines are the objects for many challenging problems and surprising solutions in combinatorial geometry. The book is a collection of beautiful and partly very recent results from the intersection of geometry, graph theory and combinatorics.
Book Synopsis Frontiers in Algorithmics and Algorithmic Aspects in Information and Management by : Mikhail Atallah
Download or read book Frontiers in Algorithmics and Algorithmic Aspects in Information and Management written by Mikhail Atallah and published by Springer Science & Business Media. This book was released on 2011-05-12 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the joint refereed proceedings of the 5th International Frontiers of Algorithmics Workshop, FAW 2011, and the 7th International Conference on Algorithmic Aspects in Information and Management, AAIM 2011, jointly held in Jinhua, China, in May 2011. The 35 revised full papers presented together with 4 invited talks were carefully reviewed and selected from 92 submissions. The papers cover a wide range of topics in the areas of algorithmics, combinatorial optimization and their applications presenting current trends of research.
Download or read book Proceedings written by and published by . This book was released on 1996 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Manual of Meteorology ...: Comparative meteorology by : Napier Shaw
Download or read book Manual of Meteorology ...: Comparative meteorology written by Napier Shaw and published by . This book was released on 1928 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Manual of Meteorology by : Napier Shaw
Download or read book Manual of Meteorology written by Napier Shaw and published by Cambridge University Press. This book was released on 2015-02-12 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1936, this book by the renowned British meteorologist Napier Shaw focuses on comparative meteorology.
Download or read book Manual Of Meteorlogy written by and published by CUP Archive. This book was released on with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Forest Improvement Measures for the Southern Appalachians by : Appalachian Forest Experiment Station (Asheville, N.C.)
Download or read book Forest Improvement Measures for the Southern Appalachians written by Appalachian Forest Experiment Station (Asheville, N.C.) and published by . This book was released on 1935 with total page 1258 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Technical Bulletin written by and published by . This book was released on 1936 with total page 1250 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stable Isotope Studies of the Water Cycle and Terrestrial Environments by : A-V. Bojar
Download or read book Stable Isotope Studies of the Water Cycle and Terrestrial Environments written by A-V. Bojar and published by Geological Society of London. This book was released on 2021-11-09 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to Earth surface environmental reconstructions and environmental changes that may be deciphered and modelled using stable isotopes along with mineralogical/chemical, sedimentological, palaeontological/biological and climatological methodologies. The book is divided into two sections, both using stable isotopes (see www.geolsoc.org.uk/SP507) in various samples and phases as the main research tool. The first section is devoted to studies focusing on the distribution of isotopes in precipitation, groundwater, lakes, rivers, springs, tap water, mine water and their relationship with terrestrial environments at regional to continental scale. In relation to this, the second section includes case studies from a range of continental settings, investigating cave deposits (stalagmites, bat guano), animal skeletons (dinosaurs, alligators, turtles, bivalves), present and past soils (palaeosols) and limestones. The sections focus on the interaction between the surficial water cycle and underground water storage with deposits acting as archives of short- to long-term climatic and environmental changes. Examples from the Early Cretaceous to present time come from Europe, Asia, Africa, North and South America.
Book Synopsis Surveys on Discrete and Computational Geometry by : Jacob E. Goodman
Download or read book Surveys on Discrete and Computational Geometry written by Jacob E. Goodman and published by American Mathematical Soc.. This book was released on 2008 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains nineteen survey papers describing the state of current research in discrete and computational geometry as well as a set of open problems presented at the 2006 AMS-IMS-SIAM Summer Research Conference Discrete and Computational Geometry--Twenty Years Later, held in Snowbird, Utah, in June 2006. Topics surveyed include metric graph theory, lattice polytopes, the combinatorial complexity of unions of geometric objects, line and pseudoline arrangements, algorithmic semialgebraic geometry, persistent homology, unfolding polyhedra, pseudo-triangulations, nonlinear computational geometry, $k$-sets, and the computational complexity of convex bodies.
Book Synopsis Engineering News and American Contract Journal by :
Download or read book Engineering News and American Contract Journal written by and published by . This book was released on 1908 with total page 1088 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Proceedings of the Southeastern Conference on Combinatorics, Graph Theory, and Computing by :
Download or read book Proceedings of the Southeastern Conference on Combinatorics, Graph Theory, and Computing written by and published by . This book was released on 1974 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Biology of the Primary Screw Worm Fly, Cochliomyia Americana, and a Comparison of Its Stages with Those of C. Macellaria by : Paul Random Henson
Download or read book Biology of the Primary Screw Worm Fly, Cochliomyia Americana, and a Comparison of Its Stages with Those of C. Macellaria written by Paul Random Henson and published by . This book was released on 1936 with total page 1274 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Real and Complex Singularities by : Ana Claudia Nabarro
Download or read book Real and Complex Singularities written by Ana Claudia Nabarro and published by American Mathematical Soc.. This book was released on 2016-10-25 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of papers presented at the XIII International Workshop on Real and Complex Singularities, held from July 27–August 8, 2014, in São Carlos, Brazil, in honor of María del Carmen Romero Fuster's 60th birthday. The volume contains the notes from two mini-courses taught during the workshop: on intersection homology by J.-P. Brasselet, and on non-isolated hypersurface singularities and Lê cycles by D. Massey. The remaining contributions are research articles which cover topics from the foundations of singularity theory (including classification theory and invariants) to topology of singular spaces (links of singularities and semi-algebraic sets), as well as applications to topology (cobordism and Lefschetz fibrations), dynamical systems (Morse-Bott functions) and differential geometry (affine geometry, Gauss-maps, caustics, frontals and non-Euclidean geometries). This book is published in cooperation with Real Sociedad Matemática Española (RSME)
