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2011
318views Education» more  DM 2011»
13 years 1 months ago
The Legendre-Stirling numbers
Abstract. The Legendre-Stirling numbers were discovered in 2002 as a result of a problem involving the spectral theory of powers of the classical second-order Legendre di¤erential...
George E. Andrews, Wolfgang Gawronski, Lance L. Li...
DM
2011
264views Education» more  DM 2011»
13 years 1 months ago
Connectivity threshold and recovery time in rank-based models for complex networks
The World Wide Web may be viewed as a graph each of whose vertices corresponds to a static HTML web page, and each of whose edges corresponds to a hyperlink from one web page to an...
Pawel Pralat
DM
2011
223views Education» more  DM 2011»
13 years 1 months ago
On graph equivalences preserved under extensions
Let G be the set of finite graphs whose vertices belong to some fixed countable set, and let ≡ be an equivalence relation on G. By the strengthening of ≡ we mean an equivalen...
Zbigniew Lonc, Miroslaw Truszczynski
DM
2011
238views Education» more  DM 2011»
13 years 1 months ago
A combinatorial approach to height sequences in finite partially ordered sets
Fix an element x of a finite partially ordered set P on n elements. Then let hi(x) be the number of linear extensions of P in which x is in position i, counting from the bottom. T...
Csaba Biró, William T. Trotter
DM
2011
253views Education» more  DM 2011»
13 years 1 months ago
On the hyperbolicity constant in graphs
If X is a geodesic metric space and x1, x2, x3 ∈ X, a geodesic triangle T = {x1, x2, x3} is the union of the three geodesics [x1x2], [x2x3] and [x3x1] in X. The space X is δ-hy...
José M. Rodríguez, Jose Maria Sigarr...