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» 1-factor covers of regular graphs
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EJC
2008
13 years 5 months ago
Multiple Kronecker covering graphs
A graph may be the Kronecker cover in more than one way. In this note we explore this phenomenon and apply it to show that the minimal common cover of two graphs need not be uniqu...
Wilfried Imrich, Tomaz Pisanski
MFCS
2009
Springer
13 years 9 months ago
Sampling Edge Covers in 3-Regular Graphs
An edge cover C of an undirected graph is a set of edges such that every vertex has an adjacent edge in C. We show that a Glauber dynamics Markov chain for edge covers mixes rapidl...
Ivona Bezáková, William A. Rummler
CORR
2010
Springer
158views Education» more  CORR 2010»
13 years 2 months ago
Counting in Graph Covers: A Combinatorial Characterization of the Bethe Entropy Function
We present a combinatorial characterization of the Bethe entropy function of a factor graph, such a characterization being in contrast to the original, analytical, definition of th...
Pascal O. Vontobel
DM
2006
144views more  DM 2006»
13 years 5 months ago
On almost self-complementary graphs
A graph is called almost self-complementary if it is isomorphic to one of its almost complements Xc - I, where Xc denotes the complement of X and I a perfect matching (1-factor) i...
Primoz Potocnik, Mateja Sajna