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» Factoring cardinal product graphs in polynomial time
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CPC
2006
92views more  CPC 2006»
13 years 7 months ago
Waiting for a Bat to Fly By (in Polynomial Time)
We observe returns of a simple random walk on a finite graph to a fixed node, and would like to infer properties of the graph, in particular properties of the spectrum of the trans...
Itai Benjamini, Gady Kozma, László L...
EJC
2011
12 years 11 months ago
A Tutte-style proof of Brylawski's tensor product formula
We provide a new proof of Brylawski’s formula for the Tutte polynomial of the tensor product of two matroids. Our proof involves extending Tutte’s formula, expressing the Tutte...
Yuanan Diao, Gábor Hetyei, Kenneth Hinson
ICALP
2009
Springer
14 years 7 months ago
Factoring Groups Efficiently
We give a polynomial time algorithm that computes a decomposition of a finite group G given in the form of its multiplication table. That is, given G, the algorithm outputs two su...
Neeraj Kayal, Timur Nezhmetdinov
JCO
2010
182views more  JCO 2010»
13 years 5 months ago
Polynomial time approximation schemes for minimum disk cover problems
The following planar minimum disk cover problem is considered in this paper: given a set D of n disks and a set P of m points in the Euclidean plane, where each disk covers a subse...
Chen Liao, Shiyan Hu
SIAMDM
2010
194views more  SIAMDM 2010»
13 years 2 months ago
Combinatorics and Geometry of Finite and Infinite Squaregraphs
Abstract. Squaregraphs were originally defined as finite plane graphs in which all inner faces are quadrilaterals (i.e., 4-cycles) and all inner vertices (i.e., the vertices not in...
Hans-Jürgen Bandelt, Victor Chepoi, David Epp...