Graph Theory And Computing
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Advanced Graph Theory and Combinatorics
Advanced Graph Theory focuses on some of the main notions arising in graph theory with an emphasis from the very start of the book on the possible applications of the theory and the fruitful links existing with linear algebra. The second part of the book covers basic material related to linear recurrence relations with application to counting and the asymptotic estimate of the rate of growth of a sequence satisfying a recurrence relation.
50 Years of Combinatorics, Graph Theory, and Computing
The book is a collection of research surveys in discrete mathematics written by leading experts.The sections of the book include: Extremal graphtheory and random graphs; Graph coloring and structural graph theory; Algorithms; Designs, Geometry, Packing and Covering; Combinatorial matrix theory;Cryptology and coding theory, Enumeration.
Computational Graph Theory
Author: Rudolf Albrecht
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
One ofthe most important aspects in research fields where mathematics is "applied is the construction of a formal model of a real system. As for structural relations, graphs have turned out to provide the most appropriate tool for setting up the mathematical model. This is certainly one of the reasons for the rapid expansion in graph theory during the last decades. Furthermore, in recent years it also became clear that the two disciplines of graph theory and computer science have very much in common, and that each one has been capable of assisting significantly in the development of the other. On one hand, graph theorists have found that many of their problems can be solved by the use of com puting techniques, and on the other hand, computer scientists have realized that many of their concepts, with which they have to deal, may be conveniently expressed in the lan guage of graph theory, and that standard results in graph theory are often very relevant to the solution of problems concerning them. As a consequence, a tremendous number of publications has appeared, dealing with graphtheoretical problems from a computational point of view or treating computational problems using graph theoretical concepts.