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» (k, )-Distance-Hereditary Graphs
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129
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DM
1998
95views more  DM 1998»
15 years 3 months ago
An Euler-type formula for median graphs
Let G be a median graph on n vertices and m edges and let k be the number of equivalence classes of the Djokovi´c’s relation Θ defined on the edge-set of G. Then 2n − m −...
Sandi Klavzar, Henry Martyn Mulder, Riste Skrekovs...
SPAA
2004
ACM
15 years 9 months ago
Balanced graph partitioning
We consider the problem of partitioning a graph into k components of roughly equal size while minimizing the capacity of the edges between different components of the cut. In part...
Konstantin Andreev, Harald Räcke
139
Voted
FOCS
2002
IEEE
15 years 8 months ago
The Hardness of 3 - Uniform Hypergraph Coloring
We prove that coloring a 3-uniform 2-colorable hypergraph with c colors is NP-hard for any constant c. The best known algorithm [20] colors such a graph using O(n1/5 ) colors. Our...
Irit Dinur, Oded Regev, Clifford D. Smyth
140
Voted
JGT
2007
87views more  JGT 2007»
15 years 3 months ago
A new upper bound on the cyclic chromatic number
A cyclic colouring of a plane graph is a vertex colouring such that vertices incident with the same face have distinct colours. The minimum number of colours in a cyclic colouring...
Oleg V. Borodin, Hajo Broersma, Alexei N. Glebov, ...
94
Voted
DM
2008
63views more  DM 2008»
15 years 3 months ago
Nomadic decompositions of bidirected complete graphs
We use K n to denote the bidirected complete graph on n vertices. A nomadic Hamiltonian decomposition of K n is a Hamiltonian decomposition, with the additional property that &quo...
Daniel W. Cranston