Coloring theories / / Steve Fisk

• Record Nr.: UNINA9910818826303321
• Autore: Fisk Steve <1946->
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [1989]; ©1989
• ISBN: 0-8218-7691-0; 0-8218-5109-8
• Descrizione fisica: 1 online resource (182 p.)
• Collana: Contemporary mathematics, , 0271-4132 ; ; 103
• Disciplina: 514/.3
• Soggetti: Map-coloring problem; Group theory; Low-dimensional topology
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references (pages 163-164).
• Nota di contenuto: ""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""; ""Chapter 3: Complexes Arising from Geometry""""1. 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)""; ""7. The Extension Problem""""8. 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""; ""Chapter 8: Coloring with Arbitrary Complexes""""1. Introduction""; ""2. Cubical Coloring""; ""3. Properties of the Dodecahedron""; ""4. More Theories""; ""Notation""; ""Bibliography""