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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
Hermite operator      116
Homomorphism      7
Hook length      131
Hull-kernel closure      271
Hyperplane      53
Ideal      33
Ideal, principal      33
Identity, graph      220
Identity, group      26
Identity, mapping      1
Identity, operator      102
image of a mapping      5
Incidence, algebra      138
Incidence, coefficient      198
Incidence, function      138
Incidence, geometry      282
Incidence, matrix      3
inclusion      9
Incomparable elements      3
Independence axioms      263
Independent set      261
Indicator      108
Indistinguishable      26
Inf-homomorphism      18
interval      4
Interval, lower      60
Interval, poset      149
Interval, upper      67
Inversion in a permutation      22
Inversion of a sequence      96
Irreducible element      32
JD-condition      30
JD-condition, strong      210
Join-irreducible      32
k-closed set      307
k-level      67
K-linear matroid      271
K-partition      13
Kernel of a mapping      5
Kirchhoffs laws      363
Kronecker symbol      1
l-equivalent vectors      447
L-flat      300
L-partition      258
Laguerre operator      110
Laguerre polynomial      111
Lah inversion      96
Lah number      87
Lah number, signless      86
Lambda-function      141
Latin rectangle      411
Latin square      411
Lattice      3
Lattice, Arguesian      50
Lattice, atomic      31
Lattice, complemented      56
Lattice, complete      4
Lattice, distributive      31
Lattice, free distributive      41
Lattice, geometric      52
Lattice, indecomposable      60
Lattice, lower semimodular      46
Lattice, modular      42
Lattice, of all subsets of a set      10
Lattice, of faces of a polytope      145
Lattice, of finite ideals      33
Lattice, of flats      53
Lattice, of ideals      33
Lattice, of multisets of a set      10
Lattice, of normal subgroups      14
Lattice, of number-partitions      17
Lattice, of partitions      13
Lattice, of subgroups      47
Lattice, point      31
Lattice, polynomial      41
Lattice, relatively complemented      56
Lattice, self-dual      4
Lattice, semimodular      46
Lattice, uniform      257
Length, function      141
Length, of a chain      3
Length, of a cycle      21
Length, of an interval      67
letter      7
Level number of the first kind      1
Level number of the second kind      1
Lexicographic matching      439
Line cover      396
Line of a matroid      53 257
Linear class      304
Linear matroid      271
Linked sets      381
Log-concave      98 430
Loop, (graph)      2
Loop, (matroid)      53 257
Loop, coloop condition      387
Lucas number      98
LYM-condition      425
MAP      354
Mapping, antitone      6
Mapping, bijective      6
Mapping, empty      6
Mapping, identity      1
Mapping, injective      6
Mapping, monotone      6
Mapping, surjective      6
Matched into      277
Matching      277 308
Matching, full      395
Matching, matroid      389
Matching, property      419
Matrix in standard form      327
Matrix matroid      326
Matroid      52 256
Matroid, base orderable      389
Matroid, connected      291 316
Matroid, coordinatizable      271
Matroid, equicardinal      284
Matroid, finitary      66 409
Matroid, free      54 257
Matroid, identically self-dual      307
Matroid, irreducible      295
Matroid, k-separated      320
Matroid, l-colorable      369
Matroid, modular      56
Matroid, principal      305
Matroid, self-dual      307
Matroid, simple      53 256
Matroid, underlying simple      53
Matroid, uniform      258
Meet-irreducible      34
Minimal polynomial      163
Minor closed class      337
Minor of a matroid      287
Modular, element      58
Modular, equality      48
Modular, filter      295
Modular, pair      58 295
Moebius, algebra      184
Moebius, function      141 148 166
Moebius, function, number theoretic      149
Moebius, geometry      282
Moebius, inversion      152
Monochromatic element of a poset      440
Monochromatic subgraph      446
Morphism      5
Multichain      17
Multinomial coefficient      77
Multiplication operator      108
Multiplicative function      147 204
Multiset      1 8
n-factorial      74
n-set      1
Neighboring copoints      62
Network      364
Non-intersecting lines      402
Normal set      300
Normalized matching condition      428
Normalized sequence      100
Number-partition      17
Number-partition, generalized      28
Number-partition, ordered      28
Obstruction      337
Occupancy pattern      7
Occupancy pattern, full      8
One-element extension      295
Onentable matroid      348
Operator of differential type      100
Orbit      21 238
Order polynomial      118
Order polynomial, strict      120
Ordered set system      438
Orientation, (graph)      2 125
Orientation, (graph), acyclic      125
Orientation, (matroid)      348
Oriented circuit matrix      348
Oriented cocircuit matrix      348
Packing number      292
Packing problem      333
Pair group      247
Pappus' configuration      329
Parallel, edges      2
Parallel, elements in a matroid      53 257
Parallel, extension, (graph)      385
Parallel, extension, (matroid)      386
Partition      4
Partition pattern      242
Partition, lattice      13 69
Partition, lattice, q-      336
Partition, of a number      17
Partition, of a number, conjugate      81
Partition, of a number, perfect      84
Partition, of a number, self-conjugate      81
Pascal's triangle      93
Permanent      159
Permutation      20
Permutation group      20
Permutation group, transitive      21
Permutation lattice      25
Permutation matrix      413
Permutation, circular      21
Permutation, even      23
Permutation, k-cyclic      21
Permutation, odd      23
Perspective points      61
Petersen graph      373
Pigeon-hole principle      9 441
Planar matroid      315
Plane in a matroid      53 257
Plane representation of a graph      312
Point, (incidence geometry)      281
Point, (matroid)      53 257
Point, (poset)      31
Point, cover      280
Polygon      275
Polygon matroid      259 274
Polynomial operator      100
Polynomial sequence      86
POSET      3
Poset, chain-finite      30
Poset, dual      3
Poset, locally finite      30
Poset, normal      425
Poset, regular      425
Poset, symmetric      419
Poset, totally ordered      3
Power function      162
Power group      22
Pregeometry      52
Prime element in a lattice      42
Prime element in a weighted structure      212
Primitive element      163
Principle of inclusion-exclusion      156
Product, of matroids      290
Product, of permutation groups      234
Product, of posets      4
Projection      290
Projective geometry      53 55 259
Projective intervals      43
Projective plane      55
Projective plane, Desarguesian      56
Projective plane, non-Desarguesian      56
Projective plane, real      355
Projective space      55
q-linear matroid      271
Quotient of a poset      51 167
Radical      150
Rado's condition      404
Rado's selection principle      407
Rado's selection principle, number      440
Rado's selection principle, property      441
Rado's selection principle, theorem      440
Rank, axioms      265
Rank, function      31
Rank, generating function      303
Rank, of a matroid      257
Rank, of a set      261
Rank, of an element in a poset      31
Rank, of an interval      67
Recursion      85
Reduced algebra      199
refinement      13
Region of a plane graph      312
Regular matroid      271
Regularity condition on the rank      39
Relative complement      56
Relative complement, minimal      59
Relatively prime      212
Representation of a matroid      285
Representation of a transversal matroid      378
Representation of a transversal matroid, maximal      388
Restriction, (function space)      287
Restriction, (graph)      288
Restriction, (matroid)      285
Riemann $\zeta$-function      99
Root of a tree      207
Rule, of counting in two ways      2
Rule, of equality      1
Rule, of products      1
Rule, of sums      1
Semigroup algebra      185
Semilattice      185
Semimodular function      267
Semimodular inequality      48
Separating edge-set      391
Separating vertex-set      318 391 394
Separator (lattice)      60
Separator (matroid)      315
Series extension (graph)      385
Series extension (matroid)      386
Series-parallel matroid      386
Series-parallel network      385
Set system      2
Set-partition      4
Set-partition, generalized      28
Set-partition, ordered      28
Shift invariant operator      104 106
Sieve formula      157
simplex      35
Simplicial complex      35 193
1 2 3
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