Combinatorics of PermutationsCRC Press, 19 abr 2016 - 478 páginas A Unified Account of Permutations in Modern CombinatoricsA 2006 CHOICE Outstanding Academic Title, the first edition of this bestseller was lauded for its detailed yet engaging treatment of permutations. Providing more than enough material for a one-semester course, Combinatorics of Permutations, Second Edition continues to clearly show the usefuln |
Índice
No Way around It Introduction | 1 |
1 In One Line and Close Permutations as Linear Orders | 3 |
2 In One Line and Anywhere Permutations as Linear Orders Inversions | 53 |
3 In Many Circles Permutations as Products of Cycles | 85 |
4 In Any Way but This Pattern Avoidance The Basics | 147 |
5 In This Way but Nicely Pattern Avoidance FollowUp | 197 |
6 Mean and Insensitive Random Permutations | 235 |
7 Permutations and the Rest Algebraic Combinatorics of Permutations | 275 |
8 Get Them All Algorithms and Permutations | 313 |
9 How Did We Get Here? Permutations as Genome Rearrangements | 351 |
Do Not Look Just Yet Solutions to OddNumbered Exercises | 385 |
References | 435 |
List of Frequently Used Notation | 453 |
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Términos y frases comunes
algorithm alternating apply argument avoid bijection bijective proof boxes called Chapter claim coefficients column combinatorial compute conjecture consider consists contains copies Corollary corresponding cycle decreasing defined definition denote descents edges elements entries equal exactly Example Exercise exists fact Figure Find fixed formula function given going graph hand holds identity implies increasing induction insert interchange inversions label larger layered least Lemma length Let us assume means multiset n-permutations nodes Note obtained P-recursive pairs partition path pattern permutation polynomial positive integers possible probability Problem proof Proposition Prove reader recursive result root runs satisfying sequence shape shown side smaller smallest solution sortable sorting stack statement step subsequence term Theorem tree true turns values vertex vertices zeros