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» Duality in Infinite Graphs
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JCT
2008
84views more  JCT 2008»
13 years 8 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
BIRTHDAY
2008
Springer
13 years 10 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
13 years 8 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»
13 years 7 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»
13 years 8 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