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» On Graph Isomorphism for Restricted Graph Classes
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SODA
2012
ACM
170views Algorithms» more  SODA 2012»
13 years 2 months ago
Compression via matroids: a randomized polynomial kernel for odd cycle transversal
The Odd Cycle Transversal problem (OCT) asks whether a given graph can be made bipartite by deleting at most k of its vertices. In a breakthrough result Reed, Smith, and Vetta (Op...
Stefan Kratsch, Magnus Wahlström
SIAMDM
2010
194views more  SIAMDM 2010»
14 years 6 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...
JCT
2011
93views more  JCT 2011»
14 years 2 months ago
A graph-theoretic approach to quasigroup cycle numbers
Abstract. Norton and Stein associated a number with each idempotent quasigroup or diagonalized Latin square of given finite order n, showing that it is congruent mod 2 to the tria...
Brent Kerby, Jonathan D. H. Smith
CORR
2011
Springer
184views Education» more  CORR 2011»
14 years 6 months ago
Acyclic and Star Colorings of Cographs
An acyclic coloring of a graph is a proper vertex coloring such that the union of any two color classes induces a disjoint collection of trees. The more restricted notion of star ...
Andrew Lyons
DM
2008
89views more  DM 2008»
14 years 11 months ago
Combinatorics of sequential dynamical systems
In this paper we study sequential dynamical systems (SDS) over words. Our main result is the classification of SDS over words for fixed graphY and family of local maps (Fvi ) by m...
Christian M. Reidys