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CPC
2006
69views more  CPC 2006»
15 years 6 months ago
Size and Weight of Shortest Path Trees with Exponential Link Weights
We derive the distribution of the number of links and the average weight for the shortest path tree (SPT) rooted at an arbitrary node to m uniformly chosen nodes in the complete g...
Remco van der Hofstad, Gerard Hooghiemstra, Piet V...
IJAC
2008
97views more  IJAC 2008»
15 years 6 months ago
Random Generation of Finitely Generated Subgroups of a Free Group
We give an efficient algorithm to randomly generate finitely generated subgroups of a given size, in a finite rank free group. Here, the size of a subgroup is the number of vertic...
Frédérique Bassino, Cyril Nicaud, Pa...
JGT
2008
83views more  JGT 2008»
15 years 6 months ago
Monochromatic Hamiltonian t-tight Berge-cycles in hypergraphs
Abstract: In any r-uniform hypergraph H for 2 t r we define an runiform t-tight Berge-cycle of length , denoted by C(r,t) , as a sequence of distinct vertices v1, v2, . . . , v ,...
Paul Dorbec, Sylvain Gravier, Gábor N. S&aa...
DAM
2007
85views more  DAM 2007»
15 years 6 months ago
Further mathematical properties of Cayley digraphs applied to hexagonal and honeycomb meshes
In this paper, we extend known relationships between Cayley digraphs and their subgraphs and coset graphs with respect to subgroups to obtain a number of general results on homomo...
Wenjun Xiao, Behrooz Parhami
SIAMDM
2008
99views more  SIAMDM 2008»
15 years 6 months ago
Hat Guessing Games
Hat problems have become a popular topic in recreational mathematics. In a typical hat problem, each of n players tries to guess the color of the hat they are wearing by looking a...
Steve Butler, Mohammad Taghi Hajiaghayi, Robert D....