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» On a class of finite symmetric graphs
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DM
2002
97views more  DM 2002»
13 years 8 months ago
Resonance graphs of catacondensed even ring systems are median
Let G be a planar embedded 2-connected graph. Then the vertices of its resonance graph R(G) are the 1-factors of G, two 1-factors being adjacent whenever their symmetric differenc...
Sandi Klavzar, Petra Zigert, Gunnar Brinkmann
UC
2005
Springer
14 years 1 months ago
On Computational Complexity of Counting Fixed Points in Symmetric Boolean Graph Automata
Abstract. We study computational complexity of counting the fixed point configurations (FPs) in certain classes of graph automata viewed as discrete dynamical systems. We prove t...
Predrag T. Tosic, Gul A. Agha
WG
1998
Springer
14 years 18 days ago
Integral Uniform Flows in Symmetric Networks
We study the integral uniform (multicommodity) flow problem in a graph G and construct a fractional solution whose properties are invariant under the action of a group of automorp...
Farhad Shahrokhi, László A. Sz&eacut...
BIRTHDAY
2010
Springer
13 years 9 months ago
Fixed-Point Definability and Polynomial Time on Chordal Graphs and Line Graphs
The question of whether there is a logic that captures polynomial time was formulated by Yuri Gurevich in 1988. It is still wide open and regarded as one of the main open problems...
Martin Grohe
COLOGNETWENTE
2009
13 years 9 months ago
A Simple Linear-Time Recognition Algorithm for Weakly Quasi-Threshold Graphs
: Weakly quasi-threshold graphs form a proper subclass of the well-known class of cographs by restricting the join operation. In this paper we characterize weakly quasi-threshold g...
Stavros D. Nikolopoulos, Charis Papadopoulos