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JDA
2010
122views more  JDA 2010»
13 years 1 days ago
Subexponential parameterized algorithms for degree-constrained subgraph problems on planar graphs
We present subexponential parameterized algorithms on planar graphs for a family of problems of the following shape: given a graph, find a connected (induced) subgraph with bounde...
Ignasi Sau, Dimitrios M. Thilikos
SODA
2010
ACM
234views Algorithms» more  SODA 2010»
14 years 2 months ago
PTAS for maximum weight independent set problem with random weights in bounded degree graphs
Finding the largest independent set in a graph is a notoriously difficult NP-complete combinatorial optimization problem. Moreover, even for graphs with largest degree 3, no polyn...
David Gamarnik, David Goldberg, Theophane Weber
DM
2010
89views more  DM 2010»
13 years 5 months ago
Large induced subgraphs with equated maximum degree
For a graph G, denote by fk(G) the smallest number of vertices that must be deleted from G so that the remaining induced subgraph has its maximum degree shared by at least k verti...
Yair Caro, Raphael Yuster
ARSCOM
2004
124views more  ARSCOM 2004»
13 years 5 months ago
The Domatic Number of Regular Graphs
The domatic number of a graph G is the maximum number of dominating sets into which the vertex set of G can be partitioned. We show that the domatic number of a random r-regular g...
Peter Dankelmann, Neil J. Calkin