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Details
Table of Contents
Intro
Preface
Contents
List of Figures
1 Introduction to Multicolor Star-Critical Ramsey Numbers
1.1 Graph-Theoretic Background
1.2 Adding or Deleting Edges
1.3 Ramsey-Goodness
2 Star-Critical Ramsey Numbers Involving Various Graphs
2.1 Trees Versus Trees
2.1.1 Paths Versus Paths
2.1.2 Stars Versus Stars
2.1.3 Other Trees
2.2 Trees Versus Non-Trees
2.2.1 Trees Versus Complete Graphs
2.2.2 Paths Versus Non-Trees
2.3 Cycles
2.3.1 Cycles Versus Cycles
2.3.2 Cycles Versus Other Graphs
2.4 Wheels
2.5 Disjoint Unions of Complete Graphs
2.6 Fans
2.7 Books
2.8 Generalized Fans and Books
3 Generalizations of Star-Critical Ramsey Numbers
3.1 Star-Critical Gallai-Ramsey Numbers
3.2 Deleting Subgraphs Other Than Stars
4 Directions for Future Research and Summary of Known Values
4.1 Directions for Future Study
4.2 Summary of Bounds and Tables of Known Values
References
Index
Preface
Contents
List of Figures
1 Introduction to Multicolor Star-Critical Ramsey Numbers
1.1 Graph-Theoretic Background
1.2 Adding or Deleting Edges
1.3 Ramsey-Goodness
2 Star-Critical Ramsey Numbers Involving Various Graphs
2.1 Trees Versus Trees
2.1.1 Paths Versus Paths
2.1.2 Stars Versus Stars
2.1.3 Other Trees
2.2 Trees Versus Non-Trees
2.2.1 Trees Versus Complete Graphs
2.2.2 Paths Versus Non-Trees
2.3 Cycles
2.3.1 Cycles Versus Cycles
2.3.2 Cycles Versus Other Graphs
2.4 Wheels
2.5 Disjoint Unions of Complete Graphs
2.6 Fans
2.7 Books
2.8 Generalized Fans and Books
3 Generalizations of Star-Critical Ramsey Numbers
3.1 Star-Critical Gallai-Ramsey Numbers
3.2 Deleting Subgraphs Other Than Stars
4 Directions for Future Research and Summary of Known Values
4.1 Directions for Future Study
4.2 Summary of Bounds and Tables of Known Values
References
Index