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» Counting the number of independent sets in chordal graphs
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DAM
2011
13 years 2 months ago
Optimization problems in multiple subtree graphs
We study various optimization problems in t-subtree graphs, the intersection graphs of tsubtrees, where a t-subtree is the union of t disjoint subtrees of some tree. This graph cl...
Danny Hermelin, Dror Rawitz
FCT
2009
Springer
14 years 2 months ago
Computing Role Assignments of Chordal Graphs
In social network theory, a simple graph G is called k-role assignable if there is a surjective mapping that assigns a number from {1, . . . , k} called a role to each vertex of G ...
Pim van 't Hof, Daniël Paulusma, Johan M. M. ...
ORL
2007
102views more  ORL 2007»
13 years 7 months ago
Using critical sets to solve the maximum independent set problem
A method that utilizes the polynomially solvable critical independent set problem for solving the maximum independent set problem on graphs with a nonempty critical independent se...
Sergiy Butenko, Svyatoslav Trukhanov
ICALP
2009
Springer
14 years 7 months ago
Counting Subgraphs via Homomorphisms
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...
Omid Amini, Fedor V. Fomin, Saket Saurabh
JCT
2007
146views more  JCT 2007»
13 years 7 months ago
Laplacian spectral bounds for clique and independence numbers of graphs
Let G be a simple graph with n vertices and m edges. Let ω(G) and α(G) be the numbers of vertices of the largest clique and the largest independent set in G, respectively. In th...
Mei Lu, Huiqing Liu, Feng Tian