دانلود کتاب Irregularity in Graphs (SpringerBriefs in Mathematics)

فهرست مطالب :

Preface
Contents
1 Introduction
1.1 Prologue
1.2 Degrees and Degree Sets
1.3 Regular and Irregular Graphs
1.4 Antiregular Graphs
References
2 Locally Irregular Graphs
2.1 Highly Irregular Graphs
2.2 Link-Regular Graphs
2.3 Link-Irregular Graphs
References
3 F-Irregular Graphs
3.1 F-Degrees
3.2 F-Irregularity
3.3 Variations of F-Degrees
References
4 Irregularity Strength
4.1 Multigraphs and Weighted Graphs
4.2 Irregular Weightings
4.3 Bounds
4.4 Regular Weightings
References
5 Rainbow Mean Index
5.1 Rainbow Mean Colorings
5.2 Complete Graphs and Complete Bipartite Graphs
5.3 Bipartite Graphs
References
6 Royal Colorings
6.1 The Majestic Index of a Graph
6.2 The Royal Index of a Graph
References
7 Traversable Irregularity
7.1 Introduction
7.2 The Chinese Postman Problem
7.3 Irregular Eulerian Walks
7.4 Optimal Irregular Eulerian Walks
7.5 Irregular Hamiltonian Walks
References
8 Ascending Subgraph Decompositions
8.1 Isomorphic Decompositions
8.2 Irregular Decompositions
8.3 The Ascending Subgraph Decomposition Conjecture
8.4 Decomposition Digraphs
8.5 Monochromatic Ascending Subgraph Sequences
References
Index