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535 kr
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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.
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591 kr
Kommande
Graph packing problem is one of the central problems in graph theory and combinatorial optimization. The famous Steiner tree packing problem in undirected graphs has become an well-established area. It is natural to extend this problem to digraphs. The corresponding problems in digraphs are called directed Steiner type packing problems which are highly related to some important problems in graph theory.In this book, the author tried to collect known results on several Steiner type packing problems in digraphs, including directed Steiner tree packing problem, directed Steiner path packing problem, strong subgraph packing problem, strong arc decomposition problem, directed Steiner cycle packing problem. This book also contains some conjectures and open problems for further study. The author hopes this book can motivate more young researchers and graduate students to do further study in this subject, and promote the interdisciplinary research of graph theory, combinatorial optimization, theoretical computer science and communication networks.