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A Study On Prime Distance Labeling Of Graphs
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Book Synopsis A Study on Prime Distance Labeling of Graphs by : Parthiban A.
Download or read book A Study on Prime Distance Labeling of Graphs written by Parthiban A. and published by Independent Author. This book was released on 2023-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theoretical foundations of graph theory are examined in this book, with a particular emphasis on prime distance labelling and its uses in computational mathematics and optimization.
Book Synopsis A Study on Graph Labeling Problems by : J. Lisy Bennet
Download or read book A Study on Graph Labeling Problems written by J. Lisy Bennet and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph theory has applications in many areas of the computing, social and natural science. The theory is also intimately related to many branches of mathematics, including matrix theory, numerical analysis, probability, topology and combinatory. The fact is that graph theory serves as a mathematical for any system involving a binary relation.
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 Primeness of Supersubdivision of Some Graphs by : Ujwala Deshmukh
Download or read book Primeness of Supersubdivision of Some Graphs written by Ujwala Deshmukh and published by Infinite Study. This book was released on with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: The graph that admits a prime labeling is said to be prime. G. Sethuraman has introduced concept of supersubdivision of a graph.
Book Synopsis Coloring Prime Distance Graphs by : Grant Robinson
Download or read book Coloring Prime Distance Graphs written by Grant Robinson and published by . This book was released on 2018 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let D be a fixed set of prime numbers. In this thesis we investigate the chromatic number of graphs with vertex set of the integers and edges between any pair of vertices whose distance is in D. Such a graph is called a prime distance graph, and the set D is called the distance set. The chromatic number of prime distance graphs is known when the distance set D has at most four primes. In this thesis we begin to classify prime distance graphs with a distance set of five primes. The number theoretic function kappa(D) is used as a tool, and some general lemmas about kappa(D) are established.
Book Synopsis A Survey on the Graceful Labeling of Graphs by : R. Lynn Watson
Download or read book A Survey on the Graceful Labeling of Graphs written by R. Lynn Watson and published by . This book was released on 1999 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advances in Pure and Applied Algebra by : Ratnesh Kumar Mishra
Download or read book Advances in Pure and Applied Algebra written by Ratnesh Kumar Mishra and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-04-03 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume documents the contributions presented at the CONIAPS XXVII International Conference on Recent Advances in Pure and Applied Algebra. The entries focus on modern trends and techniques in various branches of pure and applied Algebra and highlight their applications in coding, cryptography, graph, and fuzzy theory. The book comprised a total of eighteen chapters, among which the first fourteen chapters are devoted to Algebra and related topics, and the last four chapters are included applied mathematics parts. The chapters present the latest research work being done on the frontiers of the various branches of algebra as well as showcase the cross-fertilization of the ideas and connection among these branches.Covering a broad range of topics in pure and applied Algebra, this volume would appeal to a wide spectrum of the researcher in Mathematics. The main aim of this monograph is to contribute to the development of pure and applied Algebra and hence we purposely sought a cross-section of topics in Algebra and encouraged expository presentations and research papers that provide an innovative link between research areas of Algebra and the field of their applications. This volume will be useful not only to experts but also to beginners of research in algebras and related topics.
Book Synopsis Contemporary Studies in Discrete Mathematics by : Sudev Naduvath
Download or read book Contemporary Studies in Discrete Mathematics written by Sudev Naduvath and published by Sudev Naduvath. This book was released on 2018-02-23 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 2 Issue 1 of the journal "Contemporary Studies in Discrete Mathematics"
Book Synopsis Super Edge-Antimagic Graphs by : Martin Baca
Download or read book Super Edge-Antimagic Graphs written by Martin Baca and published by Universal-Publishers. This book was released on 2008 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph theory, and graph labeling in particular, are fast-growing research areas in mathematics. New results are constantly being discovered and published at a rapidly increasing rate due to the enormous number of open problems and conjectures in the field. This book deals mainly with the super edge-antimagic branch of graph labeling. It is written for specialists, but could be read also by postgraduate or undergraduate students with high school knowledge of mathematics and a vibrant interest in problem-solving.
Book Synopsis Construction of Optimal Radio Labelings of Grid Graphs and a Survey of Relevant Results by : Sam Zi-Ming Chyau
Download or read book Construction of Optimal Radio Labelings of Grid Graphs and a Survey of Relevant Results written by Sam Zi-Ming Chyau and published by . This book was released on 2017 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: A multi-distance labeling (or radio labeling) of a graph G is a function f that assigns each vertex a non-negative integer label such that the separation of labels between distinct vertices u,v is at least diam(G) + 1 -- d(u,v), where the distance d(u,v) between u and v is the length of a shortest path from u to v and the diameter diam(G) is the maximum distance between any two vertices in G. The span of a radio labeling f is the difference between the smallest and largest labels assigned by f, and the radio number of G is the smallest possible span for any radio labeling of G. We will prove a general formula for the radio number of all grid graphs dependent only on their horizontal and vertical lengths and their parity. We also survey other graphs and their radio numbers, some of which are completely determined. Of special interest within this survey is the radio number of different tree graphs.
Book Synopsis Distances and Domination in Graphs by : Ismael González Yero
Download or read book Distances and Domination in Graphs written by Ismael González Yero and published by MDPI. This book was released on 2020-11-18 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a compendium of the 10 articles published in the recent Special Issue “Distance and Domination in Graphs”. The works appearing herein deal with several topics on graph theory that relate to the metric and dominating properties of graphs. The topics of the gathered publications deal with some new open lines of investigations that cover not only graphs, but also digraphs. Different variations in dominating sets or resolving sets are appearing, and a review on some networks’ curvatures is also present.
Book Synopsis Distance In Graphs by : Fred Buckley
Download or read book Distance In Graphs written by Fred Buckley and published by Addison Wesley Publishing Company. This book was released on 1990-01-21 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computer Aided Constellation Management and Communication Satellites by : Daljeet Singh
Download or read book Computer Aided Constellation Management and Communication Satellites written by Daljeet Singh and published by Springer Nature. This book was released on 2023-03-01 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises the select proceedings of the International Conference on Small Satellites and its Applications (ICSS) 2022. It aims to provide a comprehensive and broad-spectrum picture of the state-of-the-art research, development, and commercial perspective of various discoveries conducted in the real-world smart small satellites, applications, and their services. The contents of this book focus on efficient power management systems, application-based optimum payload designs, telemetry and telecom and advanced navigation and RF systems, flight and ground software, structure, mechanism and materials, spacecraft autonomy, quality, testing and reliability for designing the small satellites through advanced computational procedures for a variety of applications, etc. This book proves to be a valuable resource for those in academia and industry. dgdg
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 Magic and Antimagic Graphs by : Martin Bača
Download or read book Magic and Antimagic Graphs written by Martin Bača and published by Springer Nature. This book was released on 2019-09-14 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Magic and antimagic labelings are among the oldest labeling schemes in graph theory. This book takes readers on a journey through these labelings, from early beginnings with magic squares up to the latest results and beyond. Starting from the very basics, the book offers a detailed account of all magic and antimagic type labelings of undirected graphs. Long-standing problems are surveyed and presented along with recent results in classical labelings. In addition, the book covers an assortment of variations on the labeling theme, all in one self-contained monograph. Assuming only basic familiarity with graphs, this book, complete with carefully written proofs of most results, is an ideal introduction to graph labeling for students learning the subject. More than 150 open problems and conjectures make it an invaluable guide for postgraduate and early career researchers, as well as an excellent reference for established graph theorists.
Book Synopsis Graph Labeling and Non-separating Trees by : Chenchu Bhaskar Gottipati
Download or read book Graph Labeling and Non-separating Trees written by Chenchu Bhaskar Gottipati and published by . This book was released on 2014 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation studies two independent problems, one is about graph labeling and the other problem is related to connectivity condition in a simple graph. Graph labeling is a rapidly developing area of research in graph theory, having connections with a variety of application-oriented areas such as VLSI optimization, data structures and data representation. Furthermore, the connectivity conditions in a simple graphs may help us to study the new aspects of ad hoc networks, social networks and web graphs. In chapter 2, we study path systems, reduced path systems and how to construct a super edge-graceful tree with any number of edges using path systems. First, we give an algorithm to reduce a labeled path system to a smaller labeled path system of a dierent type. First, we investigate the cases (m; k) = (3; 5) and (m; k) = (4; 7), where m is the number of paths and 2k is the length of each path, and then we give a generalization for any k;m = 3 and m = 4. We also describe a procedure to construct a super-edge-graceful tree with any number of edges. In chapter 3, we study connected graphs with certain distance-degree condition and find characteristics of a subtree of the graph whose deletion does not disconnect the graph. If T is a tree on n vertices, n > 3, and if G is a connected graph such that d (u) + d (v) + d (u; v) > 2n for every pair of distinct vertices of G, it has been conjectured that G must have a non-separating copy of T. We prove a result for the special case in which d (u)+d (v)+d (u; v) > 2n+2 for every pair of distinct vertices of G, and improve this slightly for trees of diameter at least four and for some trees of diameter three. In chapter 4, we characterize the graphs on at most 8 vertices with d (u) + d (v) + d (u; v) > 7 for every pair of distinct vertices of G, and no non-separating copy of K1;3. we also study several algorithms used to verify Locke's conjecture for a special case of non-separating trees of size k in any connected 2k-cohesive graph up to 9 vertices.
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.
