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EJC
2010
13 years 7 months ago
Partitions versus sets: A case of duality
In a recent paper, Amini et al. introduced a general framework to prove duality theorems between tree decompositions and their dual combinatorial object. They unify all known ad-h...
Laurent Lyaudet, Frédéric Mazoit, St...
JCT
2008
81views more  JCT 2008»
13 years 7 months ago
Algebraic characterization of uniquely vertex colorable graphs
Abstract. The study of graph vertex colorability from an algebraic perspective has introduced novel techniques and algorithms into the field. For instance, it is known that k-color...
Christopher J. Hillar, Troels Windfeldt
AML
2000
101views more  AML 2000»
13 years 7 months ago
Local order property in nonelementary classes
We study a local version of the order property in several frameworks, with an emphasis on frameworks where the compactness theorem fails: (1) Inside a fixed model, (2) for classes ...
Rami P. Grossberg, Olivier Lessmann
EJC
2002
13 years 7 months ago
On the Natural Imprint Function of a Graph
A subgraph H of a graph G is gated if for every x V(G) there exists a vertex u in H such that dG (x, v) = dG (x, u) + d G (u, v) for any v V(H). The gated amalgam of graphs G 1 an...
Bostjan Bresar
CORR
2010
Springer
95views Education» more  CORR 2010»
13 years 5 months ago
From Holant To #CSP And Back: Dichotomy For Holant$^c$ Problems
We explore the intricate interdependent relationship among counting problems, considered from three frameworks for such problems: Holant Problems, counting CSP and weighted H-color...
Jin-yi Cai, Sangxia Huang, Pinyan Lu