Titlebook: Computational Graph Theory; G. Tinhofer,E. Mayr,M. M. Syslo Book 1990 Springer-Verlag/Wien 1990 Layout.algorithms.calculus.computational g

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Book 1990tural 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 grap

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Efficient Computations in Tree-Like Graphs,gineering, computer science and operations research. In recent years, a generally accepted measure of a problem’s difficulty became a worst-case, asymptotic growth complexity characterization. Because of the anticipated at least exponential complexity of any solution algorithm for members in the cla

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Planar Graph Problems,anarity testing, embedding, drawing, separators, vertex-coloring, independent vertex set, listing subgraphs, Hamiltonian cycle, network flows, and Steiner trees and forests. Also typical methods and techniques useful for computational problems on planar graphs are discussed. Furthermore open questio

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Path Problems in Graphs,course path problems in graphs such as the shortest path problem or problems of finding optimal paths with respect to more generally defined objective functions; but also graph problems whose formulations do not directly involve the concept of a path, such as finding all bridges and articulation poi

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Probabilistic Analysis of Graph Algorithms,mes that the problem instances are randomly selected from some reasonable distribution of problems. We consider two types of problem. The first sort is polynomially solvable in the worst case but there are algorithms with better average case performance. In particular we consider the all-pairs short