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COMBINATORICS
1998
103views more  COMBINATORICS 1998»
14 years 9 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 1 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 1 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»
14 years 9 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 15 days 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