Parallel Algorithms For Maximum Matching And Other Problems On Interval Graphs
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Parallel Algorithms For Maximum Matching And Other Problems On Interval Graphs
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Author : Cornell University. Department of Computer Science
language : en
Publisher:
Release Date : 1988
Parallel Algorithms For Maximum Matching And Other Problems On Interval Graphs written by Cornell University. Department of Computer Science and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Algorithms categories.
In this paper, we consider parallel algorithms on interval graphs. An interval graph is a graph having a one-to-one correspondence with a sequence of intervals on the real line, such that each vertex maps to an interval in the sequence and an edge exists between two vertices if and only if the corresponding intervals overlap. Throughout the paper we use the CREW PRAM model. Our main result is an $O(\log[superscript]{2} n)$ time, $O(n[superscript]{6}/\log n)$ processor algorithm for maximum matching on interval graphs. We give PT-optimal algorithms for maximum weighted clique, maximum independent set, minimum clique cover, and minimum dominating set for representations of interval graphs; and Hamiltonian circuit for representations of proper interval graphs. We also give an improved algorithm for minimum bandwidth on representations of proper interval graphs. In addition, we present $O (\log n)$ time, $O (n[superscript]{2}/\log n)$ processor algorithms for depth-first search on representations of interval graphs and maximum matching on representations of proper interval graphs.
Parallel Algorithms For Maximum Matching In Complements Of Interval Graphs And Related Problems
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Author : Marilyn G. Andrews
language : en
Publisher:
Release Date : 1998
Parallel Algorithms For Maximum Matching In Complements Of Interval Graphs And Related Problems written by Marilyn G. Andrews and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
Parallel Algorithms For Maximum Matching In Interval Graphs
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Author : Purdue University. Department of Computer Sciences
language : en
Publisher:
Release Date : 1995
Parallel Algorithms For Maximum Matching In Interval Graphs written by Purdue University. Department of Computer Sciences and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Parallel Algorithms For Matching In Proper Interval Graphs
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Author : Purdue University. Department of Computer Sciences
language : en
Publisher:
Release Date : 1992
Parallel Algorithms For Matching In Proper Interval Graphs written by Purdue University. Department of Computer Sciences and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
Fast Parallel Algorithms For Graph Theoretic Problems Matching Coloring And Partitioning
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Author : Howard Jeffrey Karloff
language : en
Publisher:
Release Date : 1985
Fast Parallel Algorithms For Graph Theoretic Problems Matching Coloring And Partitioning written by Howard Jeffrey Karloff and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Algorithms categories.
Fast Parallel Algorithms For Graph Matching Problems
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Author : Marek Karpiński
language : en
Publisher: Oxford University Press
Release Date : 1998
Fast Parallel Algorithms For Graph Matching Problems written by Marek Karpiński and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Computers categories.
The matching problem is central to graph theory and the theory of algorithms. This book provides a comprehensive and straightforward introduction to the basic methods for designing efficient parallel algorithms for graph matching problems. Written for students at the beginning graduate level, the exposition is largely self-contained and example-driven; prerequisites have been kept to a minimum by including relevant background material. The book contains full details of several new techniques and will be of interest to researchers in computer science, operations research, discrete mathematics, and electrical engineering. The main theoretical tools are presented in three independent chapters, devoted to combinatorial tools, probabilistic tools, and algebraic tools. One of the goals of the book is to show how these three approaches can be combined to develop efficient parallel algorithms. The book represents a meeting point of interesting algorithmic techniques and opens up new algebraic and geometric areas.
Computational Graph Theory
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Author : Gottfried Tinhofer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Computational Graph Theory written by Gottfried Tinhofer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
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.
Fast Parallel Algorithms For Graphs And Networks
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Author : Danny Soroker
language : en
Publisher:
Release Date : 1987
Fast Parallel Algorithms For Graphs And Networks written by Danny Soroker and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Graph theory categories.
Many theorems in graph theory give simple characterizations for testing the existence of objects with certain properties, which can be translated into fast parallel algorithms. However, transforming these tests into algorithms for constructing such objects is often a real challenge. In this thesis we develop fast parallel ("NC") algorithms for several such construction problems.
Fast Parallel Algorithms For Graph Matching Problems
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Author : Marek Karpiński
language : en
Publisher:
Release Date : 1998
Fast Parallel Algorithms For Graph Matching Problems written by Marek Karpiński and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Graph theory categories.
A Parallel Algorithm For Matching In Proper Interval Graphs
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Author : M. G. Andrews
language : en
Publisher:
Release Date : 1992
A Parallel Algorithm For Matching In Proper Interval Graphs written by M. G. Andrews and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
