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| Ore O. — Pure and applied mathematics. Volume 27. The problem four-color |
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| Предметный указатель |
 -arc chain 105
-arc face 105
-arc interchange 105
-arc, alternating 240
-arc, maximal 240
 -basis representation 140
-basis representation decomposition 140
-basis representation, indecomposable 140
 -bridge 66
 -sum 182
Aarts, J.M. 110 251
angle 5
Arc face 66
Arc second conjoint 65
Arc, conjoint 65
Arc, H-avoiding 12
Bernhart, A. viii 196 206 252
Bipartite dichotomy 104
Birkhoff, G.D. viii 193 196 198 252
Boundary sum 34
Boundary, face 5 14
Boundary, transversal 14
Brahana, H.R. 249
Bridge equivalent 12
Bridge exterior 13
Bridge graph 15
Bridge interior 13
Bridge support 68
Bridge, augmented 167
Bridge, domain 13
Bridge, essential 13
Bridge, inessential 13
Bridge, maximal 63
Bridge, neighboring 14
Bridge, nonsingular 12
Bridge, singular 12
Bridge, terminal 15
Bridge, transferable 19
Brooks, R.L. viii 87 172 175
Cayley, A. xi xii
Chain of triangles 159
Chain, edges 240
Choinacki, C. 204 252
Chord 160
Circuit minor 172
Circuit rank 36
Circuit, arc 62
Circuit, maximal 2
Circuit, minimal 2
Circuit, parallel 11
Class, maximal 138
Coalescence 83
Color correspondence 76
Color function 75
Color initial type 197
Color modul 90
Color value 75
Color, associated 246
Coloration face 76
Coloration imprimitive 90
Coloration triangle 126
Coloration vertex 75
Coloration, edge 75 76 239
Coloration, partial 110
Coloration, reducible 84
COMPLEX 63
Component rank 36
Component, augmented 81
Composition, procedure 176
Configuration, reducible 196
Contraction 83 134 144
Contraction inner 135
Contraction to a vertex 135
Contraction, defining 135
Corner 5
Corner neighbors 227
Corner, connected 227
De Morgan, A. xi xii
Decomposition 139
Decomposition procedure 176
Decomposition, complete 239
deGroot, J. 110 251
Dirac, G.A. viii 25 110 146 147 158 161 164 169 171 175 189 224 250
Domain exterior 1
Domain interior 1
Domain, closed 1
Domain, maximal 3
Domain, minimal 3
Dynkin, E.B. 249
Edge chromatic number 239
Edge circuit 3
Edge directed function 91
Edge function 90
Edge midpoint 30
Edge regular function 91
Edge, acyclic 3
Edge, dual 30
Edge, half 30
Edge, radial 46
Errera, A. viii 196 210 211 249 252
Euler contribution for face 54
Euler edge 55
Euler formula 48
Euler vertex 60
Euler, contribution for angle 54
Face midpoint 30
Face modul 100
Face, completely distinct 82
Face, finite 4
Face, infinite 4
Face, isolated 226
Face, marked 230
Fary, I. 6 249
Franklin, P. viii 121 124 196 200 201 215 249 251 253
| G-boundary 5
G-domain 5 33
Gallai, T. viii 171 175 252
Graph conjunction 180
Graph contraction 166
Graph critical edge 165
Graph critical vertex 164
Graph double wheel 162
Graph image 138
Graph maximal bipartite 45
Graph merger 182
Graph minor 172
Graph neighbor 197 212
Graph planar representation 1
Graph subcontraction 166
Graph, amalgamation 184
Graph, augmented 241
Graph, complete 25
Graph, completely regular 52
Graph, composite 148
Graph, conformal 22 26
Graph, critical 164 196
Graph, dual 32
Graph, dual, regular 52
Graph, equivalence planar 16
Graph, essentially unique planar 18
Graph, irreducible 118 167 196
Graph, maximal planar 6
Graph, medial 47 124
Graph, primitive 26
Graph, radial 46
Graph, reducible 118 167 196
Graph, regular 52
Graph, self-dual 33
Graph, triangulated 6
Graph, W-dual 37
Groetzsch, H. ix 229 230 238 253
Gruenbaum, B. ix 229 253
Guthrie, Francis and Frederick xii
H-graph 129
H-graph reduction 131
H-graph, restricted 130
Hadwiger's conjecture 146
Hadwiger, H. viii 146 251
Hajos viii 177 185 252
Halin, R. viii 25 28 136 137 146 149 154—158 250 252
Hamilton, R. xi
Harary, F. 137 251
Heawood, P.J. viii 122—124 250 251
Homomorphic image 134
Interstice 15
Isomorphism, lobe 39
Johnson, E.I. 129 251 253
Jordan curve 1
Jordan — Schoenflies theorem 2
Kempe xii
Kuratowski, G. viii 22 24 250
Lebesgue, H. 54 119 121 250 251
MacLane, S. 45 250
May, K.O. xi 249
Menger, K. 147
Minty, G.J. viii 98 104 250
Moebius strip 154
Moebius, A.F. xi
Moon, J.W. 249
Mosaic 53
Moser, L. 249
Ore, O. 94 125 134 240 249
Properly 2-vertex separable 18
Ratib, L. 252
Reynolds, C.N. viii 215 252
Ringel, G. 249
Rothschild 241
Schuster, S. 25 250
Section, nonsingular 63
Section, singular 63
Sedlacek, J. 127 251
Separation 19 139
Separation, broad 139
Separation, minimal 167
Shannon, C.E. 245 253
simplex 25 139
Simplex decomposition 140
Skeleton 224
Smith, C.A.B. 250
Stemple ix 241
Summit 155 212
Tait, G. xii
Transformation, diagonal 9
Transversal, inner 1
Transversal, maximal 64
Transversal, outer 1
Triangle, separating 7
Tutte, W.T. viii 8 68 108 137 249—251
Twist 19
Uspensky, W.A. 249
Valence 32
Valence average 49
Valence, enlarged 246
Valence, reduced 239
Veblen, O. 124 251
Vertex insertion 26
Vertex minor 172
Vertex, elimination 26
Vertex, independent 75
Vertex, marked 194
Vertex, singular 230
Vizing, V.G. ix 248 253
Wagner, K. viii 9 27 28 45 146 147 150 193 151 153 157 158 249—251
Wernickle, P. 120 251
Whitney, H. viii 36 39 41 45 250
Winn, C.E. viii 196 202 204 206 214 215 224 249 252 253
Zeidl, B. 252
Zykov, A.A. 249
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