9 search results - page 1 / 2 » Fixed-Point Definability and Polynomial Time on Graphs with ... |
LICS
2010
IEEE
13 years 3 months ago
2010
IEEE
We prove that fixed-point logic with counting captures polynomial time on all classes of graphs with excluded minors. That is, for every class C of graphs such that some graph H is...
BIRTHDAY
2010
Springer
13 years 6 months ago
2010
Springer
The question of whether there is a logic that captures polynomial time was formulated by Yuri Gurevich in 1988. It is still wide open and regarded as one of the main open problems...
STOC
1990
ACM
13 years 9 months ago
1990
ACM
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...
SODA
2012
ACM
11 years 7 months ago
2012
ACM
We give the first linear kernels for DOMINATING SET and CONNECTED DOMINATING SET problems on graphs excluding a fixed graph H as a minor. In other words, we give polynomial time...
ICALP
2009
Springer
14 years 5 months ago
2009
Springer
We introduce a generic approach for counting subgraphs in a graph. The main idea is to relate counting subgraphs to counting graph homomorphisms. This approach provides new algori...