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COMBINATORICS
1998
103views more  COMBINATORICS 1998»
15 years 6 months ago
Recognizing Circulant Graphs of Prime Order in Polynomial Time
A circulant graph G of order n is a Cayley graph over the cyclic group Zn. Equivalently, G is circulant iff its vertices can be ordered such that the corresponding adjacency matr...
Mikhail E. Muzychuk, Gottfried Tinhofer
CORR
2011
Springer
143views Education» more  CORR 2011»
14 years 10 months ago
Polynomial kernels for Proper Interval Completion and related problems
Given a graph G = (V, E) and a positive integer k, the Proper Interval Completion problem asks whether there exists a set F of at most k pairs of (V × V ) \ E such that the graph...
Stéphane Bessy, Anthony Perez
GD
1994
Springer
15 years 11 months ago
Visibility Graphs and Oriented Matroids
We describe a set of necessary conditions for a given graph to be the visibility graph of a simple polygon. For every graph satisfying these conditions we show that a uniform rank ...
James Abello, Krishna Kumar
DM
2008
112views more  DM 2008»
15 years 6 months ago
Orbit-counting polynomials for graphs and codes
We construct an "orbital Tutte polynomial" associated with a dual pair M and M of matrices over a principal ideal domain R and a group G of automorphisms of the row spac...
Peter J. Cameron, Bill Jackson, Jason D. Rudd
NC
2011
236views Neural Networks» more  NC 2011»
14 years 9 months ago
Graph multiset transformation: a new framework for massively parallel computation inspired by DNA computing
In this paper, graph multiset transformation is introduced and studied as a novel type of parallel graph transformation. The basic idea is that graph transformation rules may be ap...
Hans-Jörg Kreowski, Sabine Kuske