Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
From Multi Prime To Subset Labelings Of Graphs
Download From Multi Prime To Subset Labelings Of Graphs full books in PDF, epub, and Kindle. Read online From Multi Prime To Subset Labelings Of Graphs ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Book Synopsis From Multi-prime to Subset Labelings of Graphs by : Bethel I. McGrew
Download or read book From Multi-prime to Subset Labelings of Graphs written by Bethel I. McGrew and published by . This book was released on 2021 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: A graph labeling is an assignment of labels (elements of some set) to the vertices or edges (or both) of a graph G. If only the vertices of G are labeled, then the resulting graph is a vertex-labeled graph. If only the edges are labeled, the resulting graph is an edge-labeled graph. The concept was first introduced in the 19th century when Arthur Cayley established Cayley's Tree Formula, which proved that there are n^n-2 distinct labeled trees of order n. Since then, it has grown into a popular research area. In this study, we first review several types of labelings, then turn to the particular problem of multi-prime labelings, where products of distinct primes are assigned as labels that are disjoint for adjacent vertices and intersecting for non-adjacent vertices. We express the problem in the equivalent language of subset labelings, denoting elements in a label by their indices 1, 2, ... , k. A graph’s subset index is the smallest number of elements k from which we can assign a subset labeling f, considered as a function with domain V(G) and range P *([k]) (i.e., the power set of [k] with the empty set omitted). It turns out that the problem of determining the subset index for graph classes such as paths and cycles is nontrivial. For paths of order n, we determine the index up to n = 24, and for cycles of order n, we determine it up to n = 18. We also describe the connection between the problem of determining the subset index of a graph and a combinatorics problem related to the so-called Erdős-Ko-Rado Theorem, namely the problem of determining the largest possible family of sets such that every set is disjoint from at most some fixed number of sets in the collection. Our work on subset labelings of cycles in particular has resulted in the correction of a significant research result in this area, reopening the problem for further research. We also consider the problem of determining the subset index for other graph classes, including prisms and grids, for which we present upper bounds in terms of the subset indices of paths and cycles. We conclude by studying the problem for select graph unions.
Book Synopsis How to Label a Graph by : Gary Chartrand
Download or read book How to Label a Graph written by Gary Chartrand and published by Springer. This book was released on 2019-06-15 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book depicts graph labelings that have led to thought-provoking problems and conjectures. Problems and conjectures in graceful labelings, harmonious labelings, prime labelings, additive labelings, and zonal labelings are introduced with fundamentals, examples, and illustrations. A new labeling with a connection to the four color theorem is described to aid mathematicians to initiate new methods and techniques to study classical coloring problems from a new perspective. Researchers and graduate students interested in graph labelings will find the concepts and problems featured in this book valuable for finding new areas of research.
Book Synopsis An Invitation to Modern Number Theory by : Steven J. Miller
Download or read book An Invitation to Modern Number Theory written by Steven J. Miller and published by Princeton University Press. This book was released on 2020-08-04 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In a manner accessible to beginning undergraduates, An Invitation to Modern Number Theory introduces many of the central problems, conjectures, results, and techniques of the field, such as the Riemann Hypothesis, Roth's Theorem, the Circle Method, and Random Matrix Theory. Showing how experiments are used to test conjectures and prove theorems, the book allows students to do original work on such problems, often using little more than calculus (though there are numerous remarks for those with deeper backgrounds). It shows students what number theory theorems are used for and what led to them and suggests problems for further research. Steven Miller and Ramin Takloo-Bighash introduce the problems and the computational skills required to numerically investigate them, providing background material (from probability to statistics to Fourier analysis) whenever necessary. They guide students through a variety of problems, ranging from basic number theory, cryptography, and Goldbach's Problem, to the algebraic structures of numbers and continued fractions, showing connections between these subjects and encouraging students to study them further. In addition, this is the first undergraduate book to explore Random Matrix Theory, which has recently become a powerful tool for predicting answers in number theory. Providing exercises, references to the background literature, and Web links to previous student research projects, An Invitation to Modern Number Theory can be used to teach a research seminar or a lecture class.
Book Synopsis Combinatorial Algorithms by : Charles J. Colbourn
Download or read book Combinatorial Algorithms written by Charles J. Colbourn and published by Springer. This book was released on 2019-07-15 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed post-conference proceedings of the 30th International Workshop on Combinatorial Algorithms, IWOCA 2019, held in Pisa, Italy, in July 2019. The 36 regular papers presented in this volume were carefully reviewed and selected from 73 submissions. They cover diverse areas of combinatorical algorithms, complexity theory, graph theory and combinatorics, combinatorial optimization, cryptography and information security, algorithms on strings and graphs, graph drawing and labelling, computational algebra and geometry, computational biology, probabilistic and randomized algorithms, algorithms for big data analytics, and new paradigms of computation.
Book Synopsis Soft Computing for Problem Solving 2019 by : Atulya K. Nagar
Download or read book Soft Computing for Problem Solving 2019 written by Atulya K. Nagar and published by Springer Nature. This book was released on 2020-04-29 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features the outcomes of the 9th International Conference on Soft Computing for Problem Solving, SocProS 2019, which brought together researchers, engineers and practitioners to discuss thought-provoking developments and challenges in order to identify potential future directions. The book presents the latest advances and innovations in the interdisciplinary areas of soft computing, including original research papers in areas such as algorithms (artificial immune systems, artificial neural networks, genetic algorithms, genetic programming, and particle swarm optimization) and applications (control systems, data mining and clustering, finance, weather forecasting, game theory, business and forecasting applications). It is a valuable resource for both young and experienced researchers dealing with complex and intricate real-world problems that cannot easily be solved using traditional methods.
Book Synopsis Graph Theory and Its Applications by : G. Sethuraman
Download or read book Graph Theory and Its Applications written by G. Sethuraman and published by Alpha Science Int'l Ltd.. This book was released on 2004 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributed papers presented at the Conference on Graph Theory and its Applications, held on March 14-16, 2001, at Anna University, Chennai.
Book Synopsis Graph-Theoretic Concepts in Computer Science by : Hans L. Bodlaender
Download or read book Graph-Theoretic Concepts in Computer Science written by Hans L. Bodlaender and published by Springer. This book was released on 2017-11-01 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the revised selected papers of the 43rd International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2017, held in Eindhoven, The Netherlands, in June 2017. The 31 full papers presented in this volume were carefully reviewed and selected from 71 submissions. They cover a wide range of areas, aiming at connecting theory and applications by demonstrating how graph-theoretic concepts can be applied in various areas of computer science. Another focus is on presenting recent results and on identifying and exploring promising directions of future research.
Book Synopsis Graph Theory and Its Applications, Second Edition by : Jonathan L. Gross
Download or read book Graph Theory and Its Applications, Second Edition written by Jonathan L. Gross and published by CRC Press. This book was released on 2005-09-22 with total page 799 pages. Available in PDF, EPUB and Kindle. Book excerpt: Already an international bestseller, with the release of this greatly enhanced second edition, Graph Theory and Its Applications is now an even better choice as a textbook for a variety of courses -- a textbook that will continue to serve your students as a reference for years to come. The superior explanations, broad coverage, and abundance of illustrations and exercises that positioned this as the premier graph theory text remain, but are now augmented by a broad range of improvements. Nearly 200 pages have been added for this edition, including nine new sections and hundreds of new exercises, mostly non-routine. What else is new? New chapters on measurement and analytic graph theory Supplementary exercises in each chapter - ideal for reinforcing, reviewing, and testing. Solutions and hints, often illustrated with figures, to selected exercises - nearly 50 pages worth Reorganization and extensive revisions in more than half of the existing chapters for smoother flow of the exposition Foreshadowing - the first three chapters now preview a number of concepts, mostly via the exercises, to pique the interest of reader Gross and Yellen take a comprehensive approach to graph theory that integrates careful exposition of classical developments with emerging methods, models, and practical needs. Their unparalleled treatment provides a text ideal for a two-semester course and a variety of one-semester classes, from an introductory one-semester course to courses slanted toward classical graph theory, operations research, data structures and algorithms, or algebra and topology.
Book Synopsis Combinatorial Methods with Computer Applications by : Jonathan L. Gross
Download or read book Combinatorial Methods with Computer Applications written by Jonathan L. Gross and published by CRC Press. This book was released on 2016-04-19 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial Methods with Computer Applications provides in-depth coverage of recurrences, generating functions, partitions, and permutations, along with some of the most interesting graph and network topics, design constructions, and finite geometries. Requiring only a foundation in discrete mathematics, it can serve as the textbook in a combinat
Book Synopsis Graph-Theoretic Concepts in Computer Science by : Łukasz Kowalik
Download or read book Graph-Theoretic Concepts in Computer Science written by Łukasz Kowalik and published by Springer Nature. This book was released on 2021-09-20 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 47th International Workshop on Graph-Theoretic Concepts in Computer Science which was held during June 23–25, 2021. The conference was planned to take place in Warsaw, Poland, but changed to an online event due to the COVID-19 pandemic. The 30 full papers included in this volume were carefully reviewed and selected from 73 submissions. The conference aims to merge theory and practice by demonstrating how concepts from graph theory can be applied to various areas in computer science or by extracting new graph-theoretic problems from applications. Chapter “Bears with Hats and Independence Polynomials” is are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com. Chapters 1, 6, and 22 are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Book Synopsis The Method of Trigonometrical Sums in the Theory of Numbers by : I. M. Vinogradov
Download or read book The Method of Trigonometrical Sums in the Theory of Numbers written by I. M. Vinogradov and published by Courier Corporation. This book was released on 2013-10-30 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text investigates Waring's problem, approximation by fractional parts of the values of a polynomial, estimates for Weyl sums, distribution of fractional parts of polynomial values, Goldbach's problem, more. 1954 edition.
Book Synopsis Topological Dynamical Systems by : Jan Vries
Download or read book Topological Dynamical Systems written by Jan Vries and published by Walter de Gruyter. This book was released on 2014-01-31 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic. This book fills this gap: it deals with this theory as 'applied general topology'. We treat all important concepts needed to understand recent literature. The book is addressed primarily to graduate students. The prerequisites for understanding this book are modest: a certain mathematical maturity and course in General Topology are sufficient.
Book Synopsis Graph Structure and Monadic Second-Order Logic by : Bruno Courcelle
Download or read book Graph Structure and Monadic Second-Order Logic written by Bruno Courcelle and published by Cambridge University Press. This book was released on 2012-06-14 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of graph structure has advanced in recent years with great strides: finite graphs can be described algebraically, enabling them to be constructed out of more basic elements. Separately the properties of graphs can be studied in a logical language called monadic second-order logic. In this book, these two features of graph structure are brought together for the first time in a presentation that unifies and synthesizes research over the last 25 years. The authors not only provide a thorough description of the theory, but also detail its applications, on the one hand to the construction of graph algorithms, and, on the other to the extension of formal language theory to finite graphs. Consequently the book will be of interest to graduate students and researchers in graph theory, finite model theory, formal language theory, and complexity theory.
Book Synopsis Combinatorial techniques by : Sharad S. Sane
Download or read book Combinatorial techniques written by Sharad S. Sane and published by Springer. This book was released on 2013-01-15 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a basic text on combinatorics that deals with all the three aspects of the discipline: tricks, techniques and theory, and attempts to blend them. The book has several distinctive features. Probability and random variables with their interconnections to permutations are discussed. The theme of parity has been specially included and it covers applications ranging from solving the Nim game to the quadratic reciprocity law. Chapters related to geometry include triangulations and Sperner's theorem, classification of regular polytopes, tilings and an introduction to the Eulcidean Ramsey theory. Material on group actions covers Sylow theory, automorphism groups and a classification of finite subgroups of orthogonal groups. All chapters have a large number of exercises with varying degrees of difficulty, ranging from material suitable for Mathematical Olympiads to research.
Book Synopsis A Mathematician’s Practical Guide to Mentoring Undergraduate Research by : Michael Dorff
Download or read book A Mathematician’s Practical Guide to Mentoring Undergraduate Research written by Michael Dorff and published by American Mathematical Soc.. This book was released on 2019-09-16 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Mathematician's Practical Guide to Mentoring Undergraduate Research is a complete how-to manual on starting an undergraduate research program. Readers will find advice on setting appropriate problems, directing student progress, managing group dynamics, obtaining external funding, publishing student results, and a myriad of other relevant issues. The authors have decades of experience and have accumulated knowledge that other mathematicians will find extremely useful.
Book Synopsis Some New Families of 4-Prime Cordial Graphs by : R.Ponraj
Download or read book Some New Families of 4-Prime Cordial Graphs written by R.Ponraj and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we investigate 4-prime cordial labeling behavior of shadow graph of a path, cycle, star, degree splitting graph of a bistar, jelly fish, splitting graph of a path and star.
Book Synopsis Graph Mining by : Deepayan Chakrabarti
Download or read book Graph Mining written by Deepayan Chakrabarti and published by Morgan & Claypool Publishers. This book was released on 2012-10-01 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: What does the Web look like? How can we find patterns, communities, outliers, in a social network? Which are the most central nodes in a network? These are the questions that motivate this work. Networks and graphs appear in many diverse settings, for example in social networks, computer-communication networks (intrusion detection, traffic management), protein-protein interaction networks in biology, document-text bipartite graphs in text retrieval, person-account graphs in financial fraud detection, and others. In this work, first we list several surprising patterns that real graphs tend to follow. Then we give a detailed list of generators that try to mirror these patterns. Generators are important, because they can help with "what if" scenarios, extrapolations, and anonymization. Then we provide a list of powerful tools for graph analysis, and specifically spectral methods (Singular Value Decomposition (SVD)), tensors, and case studies like the famous "pageRank" algorithm and the "HITS" algorithm for ranking web search results. Finally, we conclude with a survey of tools and observations from related fields like sociology, which provide complementary viewpoints. Table of Contents: Introduction / Patterns in Static Graphs / Patterns in Evolving Graphs / Patterns in Weighted Graphs / Discussion: The Structure of Specific Graphs / Discussion: Power Laws and Deviations / Summary of Patterns / Graph Generators / Preferential Attachment and Variants / Incorporating Geographical Information / The RMat / Graph Generation by Kronecker Multiplication / Summary and Practitioner's Guide / SVD, Random Walks, and Tensors / Tensors / Community Detection / Influence/Virus Propagation and Immunization / Case Studies / Social Networks / Other Related Work / Conclusions