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CORR
2010
Springer
90views Education» more  CORR 2010»
13 years 8 months ago
Logical complexity of graphs: a survey
We discuss the definability of finite graphs in first-order logic with two relation symbols for adjacency and equality of vertices. The logical depth D(G) of a graph G is equal to ...
Oleg Pikhurko, Oleg Verbitsky
ECCC
2011
205views ECommerce» more  ECCC 2011»
13 years 3 months ago
Graphs of Bounded Treewidth can be Canonized in AC1
In recent results the complexity of isomorphism testing on graphs of bounded treewidth is improved to TC1 [GV06] and further to LogCFL [DTW10]. The computation of canonical forms ...
Fabian Wagner
DM
2008
89views more  DM 2008»
13 years 8 months ago
Primitive 2-factorizations of the complete graph
Let F be a 2-factorization of the complete graph Kv admitting an automorphism group G acting primitively on the set of vertices. If F consists of Hamiltonian cycles, then F is the...
Giuseppe Mazzuoccolo
EJC
2007
13 years 8 months ago
The homology of the cycle matroid of a coned graph
The cone ˆG of a finite graph G is obtained by adding a new vertex p, called the cone point, and joining each vertex of G to p by a simple edge. We show that the rank of the red...
Woong Kook
STOC
1990
ACM
135views Algorithms» more  STOC 1990»
14 years 19 days ago
A Separator Theorem for Graphs with an Excluded Minor and its Applications
ions (Extended Abstract) Noga Alon Paul Seymour Robin Thomas Let G be an n-vertex graph with nonnegative weights whose sum is 1 assigned to its vertices, and with no minor isomorp...
Noga Alon, Paul D. Seymour, Robin Thomas