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WG
2005
Springer
16 years 1 months ago
Optimal Broadcast Domination of Arbitrary Graphs in Polynomial Time
Broadcast domination was introduced by Erwin in 2002, and it is a variant of the standard dominating set problem, such that vertices can be assigned various domination powers. Broa...
Pinar Heggernes, Daniel Lokshtanov
187
Voted
RANDOM
1998
Springer
15 years 11 months ago
Disjoint Paths in Expander Graphs via Random Walks: A Short Survey
There has been a significant amount of research lately on solving the edge disjoint path and related problems on expander graphs. We review the random walk approach of Broder, Fri...
Alan M. Frieze
DAM
2008
102views more  DAM 2008»
15 years 7 months ago
On the computational complexity of partial covers of Theta graphs
By use of elementary geometric arguments we prove the existence of a special integral solution of a certain system of linear equations. The existence of such a solution yields the...
Jirí Fiala, Jan Kratochvíl, Attila P...
DM
2006
54views more  DM 2006»
15 years 7 months ago
A note on interconnecting matchings in graphs
We prove a sufficient condition for a graph G to have a matching that interconnects all the components of a disconnected spanning subgraph of G. The condition is derived from a re...
Tomás Kaiser
JCT
2006
134views more  JCT 2006»
15 years 7 months ago
MacLane's planarity criterion for locally finite graphs
MacLane's planarity criterion states that a finite graph is planar if and only if its cycle space has a basis B such that every edge is contained in at most two members of B....
Henning Bruhn, Maya Jakobine Stein