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» Diameter bounds for planar graphs
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JGT
2008
97views more  JGT 2008»
14 years 9 months ago
On the oriented chromatic index of oriented graphs
A homomorphism from an oriented graph G to an oriented graph H is a mapping from the set of vertices of G to the set of vertices of H such that ----(u)(v) is an arc in H whenever...
Pascal Ochem, Alexandre Pinlou, Eric Sopena
77
Voted
SODA
2004
ACM
128views Algorithms» more  SODA 2004»
14 years 11 months ago
Equivalence of local treewidth and linear local treewidth and its algorithmic applications
We solve an open problem posed by Eppstein in 1995 [14, 15] and re-enforced by Grohe [16, 17] concerning locally bounded treewidth in minor-closed families of graphs. A graph has ...
Erik D. Demaine, Mohammad Taghi Hajiaghayi
DAM
1999
169views more  DAM 1999»
14 years 9 months ago
Approximating the Weight of Shallow Steiner Trees
This paper deals with the problem of constructing Steiner trees of minimum weight with diameter bounded by d, spanning a given set of vertices in a graph. Exact solutions or logar...
Guy Kortsarz, David Peleg
LATIN
2004
Springer
15 years 3 months ago
Bidimensional Parameters and Local Treewidth
For several graph-theoretic parameters such as vertex cover and dominating set, it is known that if their sizes are bounded by k then the treewidth of the graph is bounded by some ...
Erik D. Demaine, Fedor V. Fomin, Mohammad Taghi Ha...
76
Voted
INFOCOM
2009
IEEE
15 years 4 months ago
Greedy Routing with Bounded Stretch
—Greedy routing is a novel routing paradigm where messages are always forwarded to the neighbor that is closest to the destination. Our main result is a polynomial-time algorithm...
Roland Flury, Sriram V. Pemmaraju, Roger Wattenhof...