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200 10$aColoring theories /$fSteve Fisk
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1989]
210  4$d©1989
215   $a1 online resource (182 p.)
225 1 $aContemporary mathematics,$x0271-4132 ;$v103
300   $aDescription based upon print version of record.
320   $aIncludes bibliographical references (pages 163-164).
327   $a""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""
327   $a""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)""
327   $a""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""
327   $a""Chapter 8: Coloring with Arbitrary Complexes""""1. Introduction""; ""2. Cubical Coloring""; ""3. Properties of the Dodecahedron""; ""4. More Theories""; ""Notation""; ""Bibliography""
410  0$aContemporary mathematics (American Mathematical Society) ;$v103.
606   $aMap-coloring problem
606   $aGroup theory
606   $aLow-dimensional topology
615  0$aMap-coloring problem.
615  0$aGroup theory.
615  0$aLow-dimensional topology.
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700   $aFisk$b Steve$f1946-$01669181
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