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SIAMDM
2010
170views more  SIAMDM 2010»
14 years 4 months ago
Complete Minors and Independence Number
Let G be a graph with n vertices and independence number . Hadwiger's conjecture implies that G contains a clique minor of order at least n/. In 1982, Duchet and Meyniel prov...
Jacob Fox
SIAMDM
2010
119views more  SIAMDM 2010»
14 years 4 months ago
A Spanning Tree Method for Bounding Hitting Times of Random Walks on Graphs
In this paper we consider the problem of computing the expected hitting time to a vertex for random walks on graphs. We give a method for computing an upper bound on the expected ...
Randy Cogill, Cheng Peng
SIAMDM
2010
105views more  SIAMDM 2010»
14 years 4 months ago
On the Relative Generalized Hamming Weights of Linear Codes and their Subcodes
We first present an equivalent definition of relative generalized Hamming weights of a linear code and its subcodes, and we develop a method using finite projective geometry. Makin...
Zihui Liu, Jie Wang, Xin-Wen Wu
SIAMDM
2010
84views more  SIAMDM 2010»
14 years 8 months ago
On Computing the Frequencies of Induced Subhypergraphs
Let F be an r-uniform hypergraph with f vertices, where f > r ≥ 3. In [12], R. Yuster posed the problem of whether there exists an algorithm which, for a given r-uniform hyper...
Brendan Nagle
SIAMDM
2010
101views more  SIAMDM 2010»
14 years 8 months ago
Combinatorics and Genus of Tropical Intersections and Ehrhart Theory
Let g1, . . . , gk be tropical polynomials in n variables with Newton polytopes P1, . . . , Pk. We study combinatorial questions on the intersection of the tropical hypersurfaces d...
Reinhard Steffens, Thorsten Theobald