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IJAC
2008
84views more  IJAC 2008»
13 years 9 months ago
Groups whose Geodesics are Locally Testable
Abstract. A regular set of words is (k-)locally testable if membership of a word in the set is determined by the nature of its subwords of some bounded length k. In this article we...
Susan M. Hermiller, Derek F. Holt, Sarah Rees
ORDER
2002
107views more  ORDER 2002»
13 years 8 months ago
Order Dimension, Strong Bruhat Order and Lattice Properties for Posets
We determine the order dimension of the strong Bruhat order on finite Coxeter groups of types A, B and H. The order dimension is determined using a generalization of a theorem of D...
Nathan Reading
COMBINATORICA
2010
13 years 4 months ago
The homology of a locally finite graph with ends
We show that the topological cycle space of a locally finite graph is a canonical quotient of the first singular homology group of its Freudenthal compactification, and we charact...
Reinhard Diestel, Philipp Sprüssel
STOC
2005
ACM
113views Algorithms» more  STOC 2005»
14 years 9 months ago
Efficient testing of groups
We construct an efficient probabilistic algorithm that, given a finite set with a binary operation, tests if it is an abelian group. The distance used is an analogue of the edit d...
Katalin Friedl, Gábor Ivanyos, Miklos Santh...
COMBINATORICS
2006
105views more  COMBINATORICS 2006»
13 years 9 months ago
Edge-Magic Group Labellings of Countable Graphs
We investigate the existence of edge-magic labellings of countably infinite graphs by abelian groups. We show for that for a large class of abelian groups, including the integers ...
Nicholas J. Cavenagh, Diana Combe, Adrian M. Nelso...