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GC
2007
Springer
14 years 9 months ago
Subdivision Extendibility
Let H be a multigraph and G a graph containing a subgraph isomorphic to a subdivision of H, with S ⊂ V (G) (the ground set) the image of V (H) under the isomorphism. We consider...
Ronald J. Gould, Thor Whalen
CORR
2002
Springer
113views Education» more  CORR 2002»
14 years 9 months ago
Generic-case complexity, decision problems in group theory and random walks
We give a precise definition of "generic-case complexity" and show that for a very large class of finitely generated groups the classical decision problems of group theor...
Ilya Kapovich, Alexei G. Myasnikov, Paul Schupp, V...
CORR
2008
Springer
129views Education» more  CORR 2008»
14 years 9 months ago
Bounds on Codes Based on Graph Theory
"THIS PAPER IS ELIGIBLE FOR THE STUDENT PAPER AWARD" Let Aq(n, d) be the maximum order (maximum number of codewords) of a q-ary code of length n and Hamming distance at l...
Salim Y. El Rouayheb, Costas N. Georghiades, Emina...
DM
2008
145views more  DM 2008»
14 years 9 months ago
Clique coverings and partitions of line graphs
A clique in a graph G is a complete subgraph of G. A clique covering (partition) of G is a collection C of cliques such that each edge of G occurs in at least (exactly) one clique...
Bo-Jr Li, Gerard J. Chang
COMBINATORICS
2006
221views more  COMBINATORICS 2006»
14 years 9 months ago
Kernels of Directed Graph Laplacians
Abstract. Let G denote a directed graph with adjacency matrix Q and indegree matrix D. We consider the Kirchhoff matrix L = D - Q, sometimes referred to as the directed Laplacian. ...
John S. Caughman IV, J. J. P. Veerman