03683nam 2200613 450 991048088400332120180322131159.00-8218-7691-00-8218-5109-8(CKB)3240000000069630(EBL)3113039(SSID)ssj0000712475(PQKBManifestationID)11407516(PQKBTitleCode)TC0000712475(PQKBWorkID)10645416(PQKB)10084620(MiAaPQ)EBC3113039(WaSeSS)Ind00039367(PPN)197104266(EXLCZ)99324000000006963019890913h19891989 uy| 0engur|n|---|||||txtccrColoring theories /Steve FiskProvidence, Rhode Island :American Mathematical Society,[1989]©19891 online resource (182 p.)Contemporary mathematics,0271-4132 ;103Description based upon print version of record.Includes bibliographical references (pages 163-164).""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""Contemporary mathematics (American Mathematical Society) ;103.Map-coloring problemGroup theoryLow-dimensional topologyElectronic books.Map-coloring problem.Group theory.Low-dimensional topology.514/.3Fisk Steve1946-955049MiAaPQMiAaPQMiAaPQBOOK9910480884003321Coloring theories2160258UNINA