Báo cáo toán học: "Locally Restricted Compositions III Adjacent-Part Periodic Inequalitie" docx

... Locally Restricted Compositions III. Adjacent-Part Periodic Inequalities Edward A. Bender Department of Mathematics University ... modulus m. The earliest locally restricted compositions to be studied were Carlitz compositions which require adjacent parts to differ. In [2] we generalized Carlitz compositions to the case in which ... E.R. Canfield, Locally restricted compo sit...

Ngày tải lên: 08/08/2014, 12:23

... careful to consider the empty compositions when p =0 or n − p − k = 0. Then divide this result by the total number of compositions of n. To illustrate, consider unrestricted compositions; that is, L ... at (x, t)=(r, 1). the electronic journal of combinatorics 12 (2005), #R57 7 Locally Restricted Compositions I. Restricted Adjacent Differences Edward A. Bender Department of Mathemat...

Ngày tải lên: 07/08/2014, 13:21

... is Carlitz compositions [13]. The methods in [2] are inadequate for dealing with more general locally restricted compositions. One such example are what we call two-rowed Carli tz compositions. ... −r. Precise definitions of locally restricted and regular are in Definitions 4 a nd 9. Theorem 2 (Compositions and matrices) Let C be a regular, locally restricted class of compositions,...

Ngày tải lên: 08/08/2014, 01:20

... two pattern -restricted sets that appeared in our original paper (herein referred to as [BM]) and was also referred to in S. Heubach, T. Mansour, Avoiding patterns of length three in compositions ... patterns, Ph.D. thesis, Uni- versity of Pennsylvania, 1998. [CS] J.Y. Choi, J.D.H. Smith, Multi -restricted numbers and powers of permutation representations, preprint. [K] D.E. Knuth, The Ar...

Ngày tải lên: 07/08/2014, 07:21

Ngày tải lên: 08/08/2014, 01:20

... three f r om 0. Then diam(G n ) = 2 + γ 3 (n)δ 3 (n) + γ 5 (n) if ω(n) > 1, as required. 3.3 Restricted reachability results for n coprime to 6 We may prove some stronger results on the reachability ... this will facilitate the analysis of perfectness results and the diameters for n even. Definition III. For a (di-)graph G , the uniform diameter udiam(G) is the minimum integer d such tha...

Ngày tải lên: 08/08/2014, 12:22

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