Properly Colored Connectivity of Graphs

Properly Colored Connectivity of Graphs
Author: Xueliang Li
Publisher: Springer
Total Pages: 146
Release: 2018-05-14
Genre: Mathematics
ISBN: 3319896172

A comprehensive survey of proper connection of graphs is discussed in this book with real world applications in computer science and network security. Beginning with a brief introduction, comprising relevant definitions and preliminary results, this book moves on to consider a variety of properties of graphs that imply bounds on the proper connection number. Detailed proofs of significant advancements toward open problems and conjectures are presented with complete references. Researchers and graduate students with an interest in graph connectivity and colorings will find this book useful as it builds upon fundamental definitions towards modern innovations, strategies, and techniques. The detailed presentation lends to use as an introduction to proper connection of graphs for new and advanced researchers, a solid book for a graduate level topics course, or as a reference for those interested in expanding and further developing research in the area.

Chromatic Graph Theory

Chromatic Graph Theory
Author: Gary Chartrand
Publisher: CRC Press
Total Pages: 459
Release: 2019-11-28
Genre: Mathematics
ISBN: 042979827X

With Chromatic Graph Theory, Second Edition, the authors present various fundamentals of graph theory that lie outside of graph colorings, including basic terminology and results, trees and connectivity, Eulerian and Hamiltonian graphs, matchings and factorizations, and graph embeddings. Readers will see that the authors accomplished the primary goal of this textbook, which is to introduce graph theory with a coloring theme and to look at graph colorings in various ways. The textbook also covers vertex colorings and bounds for the chromatic number, vertex colorings of graphs embedded on surfaces, and a variety of restricted vertex colorings. The authors also describe edge colorings, monochromatic and rainbow edge colorings, complete vertex colorings, several distinguishing vertex and edge colorings. Features of the Second Edition: The book can be used for a first course in graph theory as well as a graduate course The primary topic in the book is graph coloring The book begins with an introduction to graph theory so assumes no previous course The authors are the most widely-published team on graph theory Many new examples and exercises enhance the new edition

Rainbow Connections of Graphs

Rainbow Connections of Graphs
Author: Xueliang Li
Publisher: Springer Science & Business Media
Total Pages: 108
Release: 2012-02-23
Genre: Mathematics
ISBN: 1461431190

Rainbow connections are natural combinatorial measures that are used in applications to secure the transfer of classified information between agencies in communication networks. Rainbow Connections of Graphs covers this new and emerging topic in graph theory and brings together a majority of the results that deal with the concept of rainbow connections, first introduced by Chartrand et al. in 2006. The authors begin with an introduction to rainbow connectedness, rainbow coloring, and rainbow connection number. The work is organized into the following categories, computation of the exact values of the rainbow connection numbers for some special graphs, algorithms and complexity analysis, upper bounds in terms of other graph parameters, rainbow connection for dense and sparse graphs, for some graph classes and graph products, rainbow k-connectivity and k-rainbow index, and, rainbow vertex-connection number. Rainbow Connections of Graphs appeals to researchers and graduate students in the field of graph theory. Conjectures, open problems and questions are given throughout the text with the hope for motivating young graph theorists and graduate students to do further study in this subject.

Advances in Global Optimization

Advances in Global Optimization
Author: David Gao
Publisher: Springer
Total Pages: 522
Release: 2014-11-11
Genre: Mathematics
ISBN: 3319083775

This proceedings volume addresses advances in global optimization—a multidisciplinary research field that deals with the analysis, characterization and computation of global minima and/or maxima of nonlinear, non-convex and nonsmooth functions in continuous or discrete forms. The volume contains selected papers from the third biannual World Congress on Global Optimization in Engineering & Science (WCGO), held in the Yellow Mountains, Anhui, China on July 8-12, 2013. The papers fall into eight topical sections: mathematical programming; combinatorial optimization; duality theory; topology optimization; variational inequalities and complementarity problems; numerical optimization; stochastic models and simulation and complex simulation and supply chain analysis.

Advances in Intelligent Systems and Applications - Volume 1

Advances in Intelligent Systems and Applications - Volume 1
Author: Ruay-Shiung Chang
Publisher: Springer Science & Business Media
Total Pages: 721
Release: 2012-12-14
Genre: Technology & Engineering
ISBN: 3642354521

The field of Intelligent Systems and Applications has expanded enormously during the last two decades. Theoretical and practical results in this area are growing rapidly due to many successful applications and new theories derived from many diverse problems. This book is dedicated to the Intelligent Systems and Applications in many different aspects. In particular, this book is to provide highlights of the current research in Intelligent Systems and Applications. It consists of research papers in the following specific topics: l Graph Theory and Algorithms l Interconnection Networks and Combinatorial Algorithms l Artificial Intelligence and Fuzzy Systems l Database, Data Mining, and Information Retrieval l Information Literacy, e-Learning, and Social Media l Computer Networks and Web Service/Technologies l Wireless Sensor Networks l Wireless Network Protocols l Wireless Data Processing This book provides a reference to theoretical problems as well as practical solutions and applications for the state-of-the-art results in Intelligent Systems and Applications on the aforementioned topics. In particular, both the academic community (graduate students, post-doctors and faculties) in Electrical Engineering, Computer Science, and Applied Mathematics; and the industrial community (engineers, engineering managers, programmers, research lab staffs and managers, security managers) will find this book interesting.

Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques

Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques
Author: Anupam Gupta
Publisher: Springer
Total Pages: 687
Release: 2012-07-20
Genre: Computers
ISBN: 3642325122

This book constitutes the joint refereed proceedings of the 15th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2012, and the 16th International Workshop on Randomization and Computation, RANDOM 2012, held in Cambridge, Massachusetts, USA, in August 2011. The volume contains 28 contributed papers, selected by the APPROX Program Committee out of 70 submissions, and 28 contributed papers, selected by the RANDOM Program Committee out of 67 submissions. APPROX focuses on algorithmic and complexity issues surrounding the development of efficient approximate solutions to computationally difficult problems. RANDOM is concerned with applications of randomness to computational and combinatorial problems.

Graph Theory with Applications to Engineering and Computer Science

Graph Theory with Applications to Engineering and Computer Science
Author: Narsingh Deo
Publisher: PHI Learning Pvt. Ltd.
Total Pages: 478
Release: 1974
Genre: Graph theory
ISBN: 9788120301450

Because of its inherent simplicity, graph theory has a wide range of applications in engineering, and in physical sciences. It has of course uses in social sciences, in linguistics and in numerous other areas. In fact, a graph can be used to represent almost any physical situation involving discrete objects and the relationship among them. Now with the solutions to engineering and other problems becoming so complex leading to larger graphs, it is virtually difficult to analyze without the use of computers. This book is recommended in IIT Kharagpur, West Bengal for B.Tech Computer Science, NIT Arunachal Pradesh, NIT Nagaland, NIT Agartala, NIT Silchar, Gauhati University, Dibrugarh University, North Eastern Regional Institute of Management, Assam Engineering College, West Bengal Univerity of Technology (WBUT) for B.Tech, M.Tech Computer Science, University of Burdwan, West Bengal for B.Tech. Computer Science, Jadavpur University, West Bengal for M.Sc. Computer Science, Kalyani College of Engineering, West Bengal for B.Tech. Computer Science. Key Features: This book provides a rigorous yet informal treatment of graph theory with an emphasis on computational aspects of graph theory and graph-theoretic algorithms. Numerous applications to actual engineering problems are incorpo-rated with software design and optimization topics.

Structural Information and Communication Complexity

Structural Information and Communication Complexity
Author: Ratislav Královic
Publisher: Springer
Total Pages: 314
Release: 2004-09-21
Genre: Computers
ISBN: 354027796X

This book constitutes the refereed proceedings of the 11th International Colloquium on Structural Information and Communication Complexity, SIROCCO 2004, held in Smolenice Castle, Slowakia in June 2004. The 26 revised full papers presented were carefully reviewed and selected from 56 submissions. Among the topics addressed are WDM networks, optical networks, ad-hoc networking, computational graph theory, graph algorithms, radio networks, routing, shortest-path problems, searching, labelling, distributed algorithms, communication networks, approximation algorithms, wireless networks, scheduling, NP completeness, Byzantine environments

Combinatorial Optimization and Applications

Combinatorial Optimization and Applications
Author: Xiaofeng Gao
Publisher: Springer
Total Pages: 541
Release: 2017-12-06
Genre: Computers
ISBN: 3319711474

The two-volume set LNCS 10627 and 10628 constitutes the refereed proceedings of the 11th International Conference on Combinatorial Optimization and Applications, COCOA 2017, held in Shanghai, China, in December 2017. The 59 full papers and 19 short papers presented were carefully reviewed and selected from 145 submissions. The papers cover most aspects of theoretical computer science and combinatorics related to computing, including classic combinatorial optimization, geometric optimization, complexity and data structures, and graph theory. They are organized in topical sections on network, approximation algorithm and graph theory, combinatorial optimization, game theory, and applications.