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Topics in structural graph theory [electronic resource] edited by Lowell W. Beineke, Robin J. Wilson

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No other book covers such a wide scope of this aspect of graph theory.

العنوان Topics in structural graph theory [electronic resource] edited by Lowell W. Beineke, Robin J. Wilson.
الناشر Cambridge, England : Cambridge University Press
تاريخ الإصدار c2013
ملاحظات Description based upon print version of record.
Includes bibliographical references at the end of each chapters and index.
English
رقم الرف Cover
Topics in Structural Graph Theory
Series Page
Title
Copyright
Contents
Foreword
Preface
Preliminaries
1. Graph theory
Graphs
Adjacency and degrees
Isomorphisms and automorphisms
Walks, paths and cycles
Connectedness and distance
Bipartite graphs and trees
Special graphs
Operations on graphs
Subgraphs and minors
Digraphs
2. Connectivity
Vertex-connectivity
Edge-connectivity
3. Flows in networks
References
1 Menger's theorem
1. Introduction
2. Vertex-connectivity
3. Edge-connectivity
4. Mixed connectivity
Connectivity pairs
Edge-disjoint skeins
5. Average connectivityAverage vertex-connectivity
Uniformly connected graphs
Average edge-connectivity
Average connectivity of digraphs
6. Menger results for paths of bounded length
Short paths
Menger path systems
Long paths
7. Connectivity of sets
Total separation
Disconnecting a graph into more than two components
8. Connecting with trees
Edge-disjoint trees
Internally disjoint trees
2 Maximally connected graphs
2. Maximally edge-connected graphs
Degree conditions
Diameter and girth conditions
Clique number conditions
Cages
3 Minimal connectivity1. Introduction
2. Edge-deletion
3. Vertex-deletion
4. Edge-contraction
5. Generalized criticality
6. Reduction methods
Contractible edges
Dawes constructions
Splitting and soldering
Miscellaneous reductions
7. Subgraph-deletion
8. Partitions under connectivity constraints
9. Line graphs
4 Contractions of k-connected graphs
2. Contractible edges in 3-connected graphs
3. Contractible edges in 4-connected graphs
4. Contractible edges in k-connected graphs
5. Contraction-critical 5-connected graphs
6. Local structure and contractible edges7. Concluding remarks
5 Connectivity and cycles
2. Generalizations of classical results
3. Relative lengths of paths and cycles
4. Regular graphs
5. Bipartite graphs
6. Claw-free graphs
7. Planar graphs
8. The Chvátal-Erdős condition
9. Ordered graphs
10. Numbers of cycles
6 H-linked graphs
2. k-linked graphs
3. Weak linkage
4. Digraphs
5. Modulo and parity linkage
6. Disjoint connected subgraphs
7. The disjoint paths problem
8. H-linked graphs
9. H-extendible graphs
References
سلسلة Encyclopedia of Mathematics and its Applications
147
الشكل 1 online resource (344 p.)
اللغة الانكليزية
رقم النظام 997010708945005171
MARC RECORDS

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