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1.

図書

図書
Jacques Tits, Richard M. Weiss
出版情報: Berlin : Springer, c2002  ix, 535 p. ; 24 cm
シリーズ名: Springer monographs in mathematics
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2.

図書

図書
V.A. Vassiliev
出版情報: Providence, R.I. : American Mathematical Society, c2002  xi, 324 p. ; 26 cm
シリーズ名: Mathematical surveys and monographs ; v. 97
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3.

図書

図書
Michael Kaufmann, Dorothea Wagner (eds.)
出版情報: Berlin ; Tokyo : Springer, c2001  xiv, 312 p. ; 24 cm
シリーズ名: Lecture notes in computer science ; 2025
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目次情報: 続きを見る
Graph Drawing and Its Applications / Rudolf Fleischer ; Colin Hirsch1:
Introduction / 1.1:
Some Applications / 1.2:
How to Draw a Graph / 1.3:
Algorithmic Approaches to Graph Drawing / 1.4:
Conclusion / 1.5:
Drawing Planar Graphs / René Weiskircher2:
What Is a Planar Graph? / 2.1:
Planarity Testing / 2.3:
How to Make a Graph Planar / 2.4:
How to Make a Planar Graph 2-Connected Planar / 2.5:
Convex Representations / 2.6:
Methods Based on Canonical Orderings / 2.7:
Drawing Trees, Series-Parallel Digraphs, and Lattices / Matthias Müller-Hannemann3:
Trees / 3.1:
Series-Parallel Digraphs / 3.2:
Lattices / 3.3:
Drawing on Physical Analogies / Ulrik Brandes4:
The Springs
Force-Directed Placement
Energy-Based Placement
Modeling with Forces and Energies
Layered Drawings of Digraphs / Oliver Bastert ; Christian Matuszewski5:
Cycle Removal / 5.1:
Layer Assignment / 5.3:
Crossing Reduction / 5.4:
Horizontal Coordinates / 5.5:
Positioning of Edges / 5.6:
Related Approaches / 5.7:
Orthogonal Graph Drawing / Markus Eiglsperger ; Sandor P. Fekete ; Gunnar W. Klau6:
Angles in Drawings / 6.1:
Orthogonal Drawings and Their Encoding / 6.3:
Heuristics / 6.4:
Flow-Based Methods / 6.5:
Compaction / 6.6:
Improving Other Aesthetic Criteria / 6.7:
Conclusions and Open Problems / 6.8:
3D Graph Drawing / Britta Landgraf7:
Physical Simulation / 7.1:
Layering / 7.3:
3D Orthogonal Drawings of Graphs of Maximum Degree Six.176 / 7.4:
3D Orthogonal Drawings of Graphs of Arbitrary Degree / 7.5:
Viewpoints / 7.6:
Drawing Clusters and Hierarchies / Ralf Brockenauer ; Sabine Cornelsen8:
Definitions / 8.1:
Clustering Methods / 8.2:
Planar Drawings of Hierarchical Clustered Graphs / 8.3:
Hierarchical Representation of Compound Graphs / 8.4:
Force-Directed Methods for Clustered Graphs / 8.5:
Online Graph Drawing of Huge Graphs - A Case Study / 8.6:
Summary / 8.7:
Dynamic Graph Drawing / Jürgen Branke9:
Maintaining the Mental Map - What Does It Mean? / 9.1:
Coping with the Dynamics / 9.3:
Conclusion and Future Work / 9.4:
Map Labeling with Application to Graph Drawing / Gabriele Neyer10:
Formal Background / 10.1:
Contents and Complexity Overview / 10.2:
Point Feature Label Placement / 10.3:
Line Feature Label Placement / 10.4:
Graphical Feature Label Placement / 10.5:
General Optimization Strategies Applied to Map Labeling / 10.6:
Software Packages / Thomas WillhalmA:
Bibliography
Index
Graph Drawing and Its Applications / Rudolf Fleischer ; Colin Hirsch1:
Introduction / 1.1:
Some Applications / 1.2:
4.

図書

図書
Chris Godsil, Gordon Royle
出版情報: New York : Springer, c2001  xix, 439 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 207
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目次情報: 続きを見る
Graphs
Groups
Transitive Graphs
Arc-Transitive Graphs
Generalized Polygons and Moore Graphs
Homomorphisms
Kneser Graphs
Matrix Theory
Interlacing
Strongly Regular Graphs
Two-Graphs
Line Graphs and Eigenvalues
The Laplacian of a Graph
Cuts and Flows
The Rank Polynomial
Knots
Knots and Eulerian Cycles
Glossary of Symbols
Index
Graphs
Groups
Transitive Graphs
5.

図書

図書
Duncan J. Watts
出版情報: Princeton, N.J. : Princeton University Press, 2004, c1999  xv, 262 p. ; 24 cm
シリーズ名: Princeton studies in complexity
Princeton paperbacks
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目次情報: 続きを見る
Preface
Kevin Bacon, the Small World, and Why It All Matters / 1:
Structure / Part I:
An Overview of the Small-World Phenomenon / 2:
Social Networks and the Small World / 2.1:
A Brief History of the Small World / 2.1.1:
Difficulties with the Real World / 2.1.2:
Reframing the Question to Consider All Worlds / 2.1.3:
Background on the Theory of Graphs / 2.2:
Basic Definitions / 2.2.1:
Length and Length Scaling / 2.2.2:
Neighbourhoods and Distribution Sequences / 2.2.3:
Clustering / 2.2.4:
"Lattice Graphs" and Random Graphs / 2.2.5:
Dimension and Embedding of Graphs / 2.2.6:
Alternative Definition of Clustering Coefficient / 2.2.7:
Big Worlds and Small Worlds: Models of Graphs / 3:
Relational Graphs / 3.1:
[alpha]-Graphs / 3.1.1:
A Stripped-Down Model: [beta]-Graphs / 3.1.2:
Shortcuts and Contractions: Model Invariance / 3.1.3:
Lies, Damned Lies, and (More) Statistics / 3.1.4:
Spatial Graphs / 3.2:
Uniform Spatial Graphs / 3.2.1:
Gaussian Spatial Graphs / 3.2.2:
Main Points in Review / 3.3:
Explanations and Ruminations / 4:
Going to Extremes / 4.1:
The Connected-Caveman World / 4.1.1:
Moore Graphs as Approximate Random Graphs / 4.1.2:
Transitions in Relational Graphs / 4.2:
Local and Global Length Scales / 4.2.1:
Clustering Coefficient / 4.2.2:
Contractions / 4.2.4:
Results and Comparisons with [beta]-Model / 4.2.5:
Transitions in Spatial Graphs / 4.3:
Spatial Length versus Graph Length / 4.3.1:
Results and Comparisons / 4.3.2:
Variations on Spatial and Relational Graphs / 4.4:
"It's a Small World after All": Three Real Graphs / 4.5:
Making Bacon / 5.1:
Examining the Graph / 5.1.1:
Comparisons / 5.1.2:
The Power of Networks / 5.2:
Examining the System / 5.2.1:
A Worm's Eye View / 5.2.2:
Other Systems / 5.3.1:
Dynamics / 5.5:
The Spread of Infectious Disease in Structured Populations / 6:
A Brief Review of Disease Spreading / 6.1:
Analysis and Results / 6.2:
Introduction of the Problem / 6.2.1:
Permanent-Removal Dynamics / 6.2.2:
Temporary-Removal Dynamics / 6.2.3:
Global Computation in Cellular Automata / 6.3:
Background / 7.1:
Global Computation / 7.1.1:
Cellular Automata on Graphs / 7.2:
Density Classification / 7.2.1:
Synchronisation / 7.2.2:
Cooperation in a Small World: Games on Graphs / 7.3:
The Prisoner's Dilemma / 8.1:
Spatial Prisoner's Dilemma / 8.1.2:
N-Player Prisoner's Dilemma / 8.1.3:
Evolution of Strategies / 8.1.4:
Emergence of Cooperation in a Homogeneous Population / 8.2:
Generalised Tit-for-Tat / 8.2.1:
Win-Stay, Lose-Shift / 8.2.2:
Evolution of Cooperation in a Heterogeneous Population / 8.3:
Global Synchrony in Populations of Coupled Phase Oscillators / 8.4:
Kuramoto Oscillators on Graphs / 9.1:
Conclusions / 9.3:
Notes
Bibliography
Index
Preface
Kevin Bacon, the Small World, and Why It All Matters / 1:
Structure / Part I:
6.

図書

図書
Pavol Hell and Jaroslav Nešetřil
出版情報: Oxford : Oxford University Press, 2004  xii, 244 p. ; 24cm
シリーズ名: Oxford lecture series in mathematics and its applications ; 28
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7.

図書

図書
von Hartmut Noltemeier
出版情報: Berlin : Walter de Gruyter, 1976  239 p. ; 24 cm.
シリーズ名: De Gruyter Lehrbuch
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8.

図書

図書
Claude Berge
出版情報: Paris : Dunod, c1970  xviii, 502 p ; 25 cm
シリーズ名: Monographies universitaires de mathématiques ; 37
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9.

図書

図書
Wolfgang Woess
出版情報: Cambridge ; New York : Cambridge University Press, 2000  xi, 334 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 138
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10.

図書

図書
R. Balakrishnan, K. Ranganathan
出版情報: New York : Springer, c2000  xi, 227 p. ; 25 cm
シリーズ名: Universitext
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