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» Duality in Infinite Graphs
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JCT
2008
84views more  JCT 2008»
14 years 11 months ago
Minimally non-Pfaffian graphs
We consider the question of characterizing Pfaffian graphs. We exhibit an infinite family of non-Pfaffian graphs minimal with respect to the matching minor relation. This is in sha...
Serguei Norine, Robin Thomas
105
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BIRTHDAY
2008
Springer
15 years 1 months ago
Unfolding Graph Transformation Systems: Theory and Applications to Verification
The unfolding of a system represents in a single branching structure all its possible computations: it is the cornerstone both of semantical constructions and of efficient partial ...
Paolo Baldan, Andrea Corradini, Barbara König
EJC
2008
14 years 11 months ago
On triangle-free distance-regular graphs with an eigenvalue multiplicity equal to the valency
Let be a triangle-free distance-regular graph with diameter d 3, valency k 3 and intersection number a2 = 0. Assume has an eigenvalue with multiplicity k. We show that if for ...
Kris Coolsaet, Aleksandar Jurisic, Jack H. Koolen
COMBINATORICA
2008
123views more  COMBINATORICA 2008»
14 years 10 months ago
Counting canonical partitions in the random graph
Algorithms are given for computing the number of n-element diagonal sets and the number of n-element strongly diagonal sets of binary sequences of length at most 2n - 2. The first...
Jean A. Larson
SIAMDM
2008
115views more  SIAMDM 2008»
14 years 11 months ago
Rank-Width and Well-Quasi-Ordering
Robertson and Seymour (1990) proved that graphs of bounded tree-width are well-quasi-ordered by the graph minor relation. By extending their arguments, Geelen, Gerards, and Whittle...
Sang-il Oum