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» A graph polynomial for independent sets of bipartite graphs
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IWPEC
2010
Springer
14 years 12 months ago
On the Kernelization Complexity of Colorful Motifs
The Colorful Motif problem asks if, given a vertex-colored graph G, there exists a subset S of vertices of G such that the graph induced by G on S is connected and contains every c...
Abhimanyu M. Ambalath, Radheshyam Balasundaram, Ch...
SODA
2012
ACM
170views Algorithms» more  SODA 2012»
13 years 4 months ago
Compression via matroids: a randomized polynomial kernel for odd cycle transversal
The Odd Cycle Transversal problem (OCT) asks whether a given graph can be made bipartite by deleting at most k of its vertices. In a breakthrough result Reed, Smith, and Vetta (Op...
Stefan Kratsch, Magnus Wahlström
DM
2002
76views more  DM 2002»
15 years 1 months ago
Chromaticity of some families of dense graphs
For a graph G, let P(G; ) be its chromatic polynomial and let [G] be the set of graphs having P(G; ) as their chromatic polynomial. We call [G] the chromatic equivalence class of ...
Feng Ming Dong, Kee L. Teo, Charles H. C. Little, ...
DM
2006
108views more  DM 2006»
15 years 2 months ago
Optimal broadcast domination in polynomial time
Broadcast domination was introduced by Erwin in 2002, and it is a variant of the standard dominating set problem, such that different vertices can be assigned different domination...
Pinar Heggernes, Daniel Lokshtanov
JGT
2007
85views more  JGT 2007»
15 years 1 months ago
On graphs with subgraphs having large independence numbers
: Let G be a graph on n vertices in which every induced subgraph on s = log3 n vertices has an independent set of size at least t = log n. What is the largest q = q(n) so that ever...
Noga Alon, Benny Sudakov