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» Constructing a Class of Symmetric Graphs
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JCT
2007
90views more  JCT 2007»
13 years 8 months ago
Enumeration problems for classes of self-similar graphs
We describe a general construction principle for a class of self-similar graphs. For various enumeration problems, we show that this construction leads to polynomial systems of rec...
Elmar Teufl, Stephan Wagner
JCT
2006
100views more  JCT 2006»
13 years 8 months ago
Approximating clique-width and branch-width
We construct a polynomial-time algorithm to approximate the branch-width of certain symmetric submodular functions, and give two applications. The first is to graph "clique-wi...
Sang-il Oum, Paul D. Seymour
CORR
2007
Springer
155views Education» more  CORR 2007»
13 years 8 months ago
Low-density graph codes that are optimal for source/channel coding and binning
We describe and analyze the joint source/channel coding properties of a class of sparse graphical codes based on compounding a low-density generator matrix (LDGM) code with a low-...
Martin J. Wainwright, Emin Martinian
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
JGT
2010
84views more  JGT 2010»
13 years 6 months ago
Large classes of infinite k-cop-win graphs
While finite cop-win finite graphs possess a good structural characterization, none is known for infinite cop-win graphs. As evidence that such a characterization might not exis...
Anthony Bonato, Gena Hahn, Claude Tardif