Broadcast Domination Algorithms For Interval Graphs Series Parallel Graphs And Trees
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Broadcast Domination Algorithms For Interval Graphs Series Parallel Graphs And Trees
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Author : Jean R. S. Blair
language : en
Publisher:
Release Date : 2003
Broadcast Domination Algorithms For Interval Graphs Series Parallel Graphs And Trees written by Jean R. S. Blair and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.
Structures Of Domination In Graphs
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Author : Teresa W. Haynes
language : en
Publisher: Springer Nature
Release Date : 2021-05-04
Structures Of Domination In Graphs written by Teresa W. Haynes and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-04 with Mathematics categories.
This volume comprises 17 contributions that present advanced topics in graph domination, featuring open problems, modern techniques, and recent results. The book is divided into 3 parts. The first part focuses on several domination-related concepts: broadcast domination, alliances, domatic numbers, dominator colorings, irredundance in graphs, private neighbor concepts, game domination, varieties of Roman domination and spectral graph theory. The second part covers domination in hypergraphs, chessboards, and digraphs and tournaments. The third part focuses on the development of algorithms and complexity of signed, minus and majority domination, power domination, and alliances in graphs. The third part also includes a chapter on self-stabilizing algorithms. Of extra benefit to the reader, the first chapter includes a glossary of commonly used terms. The book is intended to provide a reference for established researchers in the fields of domination and graph theory and graduate students who wish to gain knowledge of the topics covered as well as an overview of the major accomplishments and proof techniques used in the field.
Limited Broadcast Domination
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Author : Feiran Yang
language : en
Publisher:
Release Date : 2019
Limited Broadcast Domination written by Feiran Yang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
Let G = (V,E) be a graph and f be a function such that f : V -> {0,1,2,..., k}. Let V_f^+ = {v : f(v) > 0}. If for every vertex v not in V_f^+ there exists a vertex w in V_f^+ such that d(v,w) ≤ f(w) then f is called a k-limited dominating broadcast of G. The sum of f(v) is called the cost of the broadcast. The minimum cost of a dominating broadcast is called the k-limited broadcast domination number of G, and is denoted by gamma_{b,k}(G). This parameter gamma_{b,k}(G) is a variation of the well-studied broadcast domination number. The value gamma_{b,k}(G) can also be defined as a solution to an integer linear programming problem. The solution to the dual problem is defined as the k-limited multipacking number. We begin with a survey of known results and background related to these broadcast domination related parameters. In Chapter 3, we give a proof of NP-completeness for the problem of determining the k-limited broadcast domination number for a fixed graph G, as well as a proof of NP-completeness for its dual problem of determining the k-limited multipacking number. Chapter 4 focuses on cubic and subcubic graphs. Here we give an upper bound for the 2-limited broadcast domination number of (C_4, C_6)-free cubic graphs. In Chapter 5, we describe algorithms which determine the k-limited broadcast domination number for strongly chordal graphs, interval graphs, circular arc graphs and proper interval bigraphs in polynomial time. In Chapter 6, we show that the k-limited broadcast domination number for trees can be determined in linear time. We specifically give a linear time algorithm which determines the 2-limited broadcast domination number of trees.
Combinatorial Algorithms
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Author : Leszek Gąsieniec
language : en
Publisher: Springer Nature
Release Date : 2020-05-28
Combinatorial Algorithms written by Leszek Gąsieniec and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-28 with Computers categories.
This book constitutes the proceedings of the 31st International Workshop on Combinatorial Algorithms which was planned to take place in Bordeaux, France, during June 8–10, 2020. Due to the COVID-19 pandemic the conference changed to a virtual format. The 30 full papers included in this book were carefully reviewed and selected from 62 submissions. They focus on algorithms design for the myriad of combinatorial problems that underlie computer applications in science, engineering and business.
Graph Theoretic Concepts In Computer Science
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Author : Dieter Kratsch
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-13
Graph Theoretic Concepts In Computer Science written by Dieter Kratsch 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 2005-12-13 with Computers categories.
This book constitutes the thoroughly refereed post-proceedings of the 31st International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2005, held in Metz, France in June 2005. The 38 revised full papers presented together with 2 invited papers were carefully selected from 125 submissions. The papers provide a wealth of new results for various classes of graphs, graph computations, graph algorithms, and graph-theoretical applications in various fields. The workshop aims at uniting theory and practice by demonstrating how graph-theoretic concepts can be applied to various areas in Computer Science, or by extracting new problems from applications. The goal is to present recent research results and to identify and explore directions of future research.
Parallel Algorithms For Series Parallel Graphs
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Author : Hans Leo Bodlaender
language : en
Publisher:
Release Date : 1996
Parallel Algorithms For Series Parallel Graphs written by Hans Leo Bodlaender and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Computer algorithms categories.
Abstract: "In this paper, a parallel algorithm is given that, given a graph G = (V, E), decides whether G is a series parallel graph, and if so, builds a decomposition tree for G of series and parallel composition rules. The algorithm uses O(log[absolute value of E]log*[absolute value of E]) time and O([absolute value of E]) operations on an EREW PRAM, and O(log [absolute value of E]) time and O([absolute value of E]) operations on a CRCW PRAM (note that if G is a simple series parallel graph, then [absolute value of E] = O([absolute value of V]). With the same time and processor resources, a tree-decomposition of width at most two can be built of a given series parallel graph, and hence, very efficient parallel algorithms can be found for a large number of graph problems on series parallel graphs, including many well known problems, e.g., all problems that can be stated in monadic second order logic. The results hold for undirected series parallel graphs graphs [sic], as well as for directed series parallel graphs."
Graph Theoretic Concepts In Computer Science
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Author : Ulrik Brandes
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-10-18
Graph Theoretic Concepts In Computer Science written by Ulrik Brandes 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 2000-10-18 with Computers categories.
This book constitutes the thoroughly refereed post-workshop proceedings of the 26th International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2000, held in Konstanz, Germany, in June 2000. The 26 revised full papers presented together with two invited contributions were carefully reviewed and selected from 51 submissions. The papers provide a wealth of new results for various classes of graphs, graph computations, graph algorithms and graph-theoretical applications in various fields.
Graph Theoretic Concepts In Computer Science
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Author : Ernst W. Mayr
language : en
Publisher: Springer Science & Business Media
Release Date : 1995-03-17
Graph Theoretic Concepts In Computer Science written by Ernst W. Mayr 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 1995-03-17 with Computers categories.
This volume presents the proceedings of the 20th International Workshop on Graph-Theoretic Concepts in Computer Science (WG '94), held in Herrsching, Germany in June 1994. The volume contains 32 thoroughly revised papers selected from 66 submissions and provides an up-to-date snapshot of the research performed in the field. The topics addressed are graph grammars, treewidth, special graph classes, algorithms on graphs, broadcasting and architecture, planar graphs and related problems, and special graph problems.
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.
Congressus Numerantium
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Author :
language : en
Publisher:
Release Date : 2000
Congressus Numerantium written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Combinatorial analysis categories.
