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Aigner M. — Combinatorial Theory
Aigner M. — Combinatorial Theory



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Название: Combinatorial Theory

Автор: Aigner M.

Аннотация:

From the reviews: "This book presents a very good introduc- tion to combinatorics. It covers most aspects of enumeration and order theory,... It is divided into three parts. The first part presents the basic material on mappings and po- sets... The second part deals with enumeration ... Finally the third part treats of the order-theoretic aspects ... In the text examples are given and at the end of each chapter valuable notes, also very good selected exercises. They con- stitute an organic part of the book. This book can warmly be recommended first of all to students interested in combina- torics. A two semester course can also be based on it."


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1997

Количество страниц: 483

Добавлена в каталог: 20.03.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\beta$-invariant      320
0-chain      358
0-element      3
1-chain      358
1-element      3
2-isomorphic graphs      374
5-flow      374
Abel operator      106
Abel polynomial      110
Achromatic k-block      372
Affine closure      260
Affine geometry      260
Affine lattice      15
Affine space      282
Affinely dependent      260
Algebraically dependent      50
Alternating group      24
Antichain      3 400
Antichain, maximal sized      400 423
Arboncity      293
Arithmetic mean      414
Arithmetic progression      447
arrow      2
atom      3
Augmenting chain      319
Augmenting path      365
Average of a vector      415
Backward edge      365
Basis, (matroid)      261
Basis, (set)      261
Basis, axioms      264
Basis, operator      101
Basis, sequence      101
Bell number      70 92
Bernoulli, number      99
Bernoulli, operator      101
Bernoulli, polynomial      117
Binary matroid      337
Binomial, coefficient      68 75 93
Binomial, inversion      96
Binomial, sequence      99
Binomial, theorem      76
Bipartition      341
Block (graph)      319
Block (partition)      13
BOND      312
Bond, matroid      312
Boolean algebr      a12 68
Boolean function      165 246
Boundary operator      358
box      7
Bridge      312
Capacity of a cut      364
Catalan number      85
Center of a lattice      60
Chain in a poset      3
Chain in a poset, maximal      3 142
Chain in a poset, unrefmable      3 419
Chain polynomial      119
Chain product      17 434
Chain-function      141
Characteristic, function      177
Characteristic, of a distributive lattice      192
Characteristic, polynomial      155 176 303
Characteristic, set of a matroid      323
Characteristic, vector of a set      12
Choice function, global      407
Choice function, local      407
Chord      387
Chromatic, invariant      303
Chromatic, number      124
Chromatic, polynomial      124 366
Circuit, (graph)      2
Circuit, (matroid)      261
Circuit, axioms      264
Clique number      399
Closed set      49
Closed set, with respect to G      221
Closed set, with respect to G,H      239
Closure operator      49 167
Co-atom      3
Cobase      307
Coboundary      358
Coboundary, binary      339
Coboundary, elementary      358
Coboundary, module      358
Coboundary, operator      358
Coboundary, space      359
Cocircuit      307
Cocircuit matrix      348
Coclosure      172
Cocycle      339
Cocycle group      339
Coding of a distributive lattice      35
Coding problem      333
Cographic matroid      312
Coline      53 257
Coloop      297
Coloring, (graph)      124 366
Coloring, (matroid)      369
Coloring, (poset)      440
Combinatorial geometry      53 256
Combinatorial pregeometry      52
Comparability graph      398
Comparable elements      3
Compatible relation      197
Complement in a lattice      56
Complementary separators      61
Complete product      165
Component (graph)      2
Component (matroid)      316
composition      212
Composition, of permutation groups      243
Composition, of power series      111
Congruence class      14
Congruence relation      14
Connecting coefficients      86
Connectivity numbers      392
Consistently oriented      375
Contraction, (function space)      287
Contraction, (graph)      288
Contraction, (matroid)      285
Convex, hull      445
Convex, polytope      145
Convex, s-gon      445
Convolution      138
Coordinatization matrix      326
Coordinatization of a matroid      271
Coplane      53 257
Copoint      53 257
Corank      31 261
Cotransversal matroid      320
Cover function      141
Covered (matrix)      396
Covered (poset)      3
Covering matroid      258
Covering number      293
Critical exponent of a matroid      331
Cross-cut      175
Cross-cut, lower      174
Cross-cut, upper      174
Curve      281
Cut in a network      364
Cut point      318
Cycle (matroid)      358
Cycle (matroid), binary      339
Cycle (matroid), elementary      358
Cycle, (permutation)      20
Cycle, (permutation), trivial      21
Cycle, decomposition      20
Cycle, group      339
Cycle, indicator      209 228
Cycle, module      358
Cycle, space      359
Cyclic group      223
d-independent set      333
Decomposition of an element      32
Decomposition of an element, irredundant      32
Defect of a set      280
Defect of a transversal      404
Defining vertex-sets      2
Degree of a permutation group      20
Degree of a vertex      2
Delta operator      104
Delta-function      140
Dependent set      261
Derangement      159
Derivative of an operator      108
Desarguesian block      276
Desarguesian configuration      276 329
Descent      23
Diagonal      396
Diagram of a poset      3
Different operator, backward      102
Different operator, central      110
Different operator, forward      102
Different operator, lower      153
Different operator, upper      153
Differential operator      100
Dihedral group      230
Dilworth completion      298 301
Dilworth number      37
Dimension, of a coding      35 397
Dimension, of a projective space      53 55
Dimension, of an affine space      282
Directed edge graph      393
Dirichlet series      202
Disjunctive normal form      165
Distinguishable      26
distribution      28
Distributive, element      58
Distributive, lattice      31
Distributive, triple      58
Divisor lattice      10 68
Dominance order      18
Doubly stochastic matrix      414
Dual, graph      313
Dual, map      356
Dual, matroid      306
Duality principle (lattice)      4
Duality principle (matroid)      307
Edge, automorphism group      218
Edge, coloring      370
Edge, cut set      312
Edge, cut set, minimal      312
Edge-graph      370
Edge-set      2
Embedding of a lattice      30
Enumerator      212 221
Erection of a matroid      306
Euclidean representation      257
Eulenan, graph      341
Eulenan, number      123
Eulenan, sequence      117
Eulenan, series      203
Euler, $\varphi$-function      158
Euler, characteristic      354
Euler, formula      314
Euler, function      223
Euler, operator      116
Euler, polynomial      135
Euler, shift invariant operator      118
Euler, translation      117
Evaluation      104
Exchange axiom      52
Exponential polynomial      114
Exponential series      201
Extension of an ordering      16
Extension of an ordering, total      16
Face of a complex      194
Face of a plane graph      312
Factor of a matroid      290
Factorials, falling      74
Factorials, rising      74
Factorization      211
Factorization, ordered      202
Fano plane      259
Ferrers diagram      40
Fibonacci number      98
Filter      33
Filter, principal      174
Finite basis axiom (function)      267
Finite basis axiom (matroid)      52
Fixed point of a permutation      21
Flat      53 256
Flow      363
Flow, admissible      364
Flow, elementary      364
Flow, optimal      364
Forbidden minor      337
Forest      3
Forest, labeled      207
Forest, rooted      208
Formal power series      107
Forward edge      365
Free distributive lattice      37
Free projective plane      328
Free vector space      181
Fully distinguishable      26
Function space      271
Function space, matroid      272
G,H-equivalent      238
G,H-pattern      235
G-equivalent      228
G-pattern      221
Galois, connection      171
Galois, extension      172
Galois, function      172
Galois, number      69 94
Gammoid      383
Gammoid, strict      382
Gauss inversion      96
Gaussian coefficient      69 79 94
Gaussian polynomial      88
Generating function      196
Geometric mean      414
Geometry      52
Graph      2
Graph, bipartite      2
Graph, complete      2
Graph, complete bipartite      2
Graph, connected      2
Graph, directed      2
Graph, k-colorable      368 410
Graph, k-connected      31
Graph, labeled      206
Graph, maximal plane graph      370
Graph, n-T-connected      321
Graph, perfect      399
Graph, planar      312
Graph, plane      312
Graph, regular      370
Graph, simple      2
Graphic matroid      274
Group of sets      338
h-family      403 427
Hadamard matrix      166
Hadwiger's conjecture      373
Hall's Condition      404
Harmonic number      98
1 2 3
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