| Description |
1 online resource (182 pages) |
| Series |
Contemporary Mathematics ; v. 103 |
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Contemporary Mathematics
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| Contents |
Contents -- Preface -- Chapter 1: Properties of the Combinatorial Category -- 1. Hom and Cartesian Product -- 2. The Coloring Functor B -- 3. The Automorphism Complex -- 4. Hat and Join -- 5. Wreath Products and Graph Composition -- 6. Limits -- 7. Examples -- 8. Coloring Arbitrary Complexes -- Chapter 2: The Symmetric Group Complex Sn -- 1. Basic Properties of Sn -- 2. Element-wise description of Maps -- 3. Local connectivity of Sn -- 4. The Derangement Complex -- 5. General Decomposition and the Oberwolhfach Problem |
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Chapter 3: Complexes Arising from Geometry1. Points and Lines in the plane -- 2. Baer Subplanes -- 3. Spreads in PG(3,q) -- 4. The Hyperbolic Quadric in PG(3,q) -- 5. Hermitian Varieties -- Chapter 4: Graphs -- 1. Introduction -- 2. Reflexive Line Graphs -- 3. Generalized Line Graphs -- 4. Group Graphs -- 5. AUT(G) -- 6. The 3-Regular Group Graphs -- Chapter 5: Complexes With a Structure Group -- 1. Introduction -- 2. Examples -- 3. Matrix Groups -- 4. Colorings of PGL-structures -- 5. The Hyperbolic Quadric -- 6. Elliptic Involutions of PGL(2,q) |
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7. The Extension Problem8. AF(n, q) and hi-affine maps -- Chapter 6: Reflexive and Self-Dual Complexes -- 1. The Color Spectrum -- 2. Binary n-Trees -- 3. Reflexive Bipartite Graphs -- 4. Sparse Planar Thiangulations -- 5. Edge Coloring 3-Complexes and Reflexive 2-Complexes -- 6. Reflexive Thiangulations of the 2-Sphere -- Chapter 7: Continuous Colorings -- 1. Continuous Colorings -- 2. Elementary Results about Continuous Colorings -- 3. Infinite Reflexive Complexes -- 4. Cartesian Products and Latin Square Spaces -- 5. Colorings of Real Latin Squares |
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Chapter 8: Coloring with Arbitrary Complexes1. Introduction -- 2. Cubical Coloring -- 3. Properties of the Dodecahedron -- 4. More Theories -- Notation -- Bibliography |
| Bibliography |
Includes bibliographical references (pages 163-164) |
| Notes |
English |
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Print version record |
| Subject |
Map-coloring problem.
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Group theory.
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Low-dimensional topology.
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Group theory
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Low-dimensional topology
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Map-coloring problem
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| Form |
Electronic book
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| ISBN |
9780821876916 |
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0821876910 |
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