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DAM
2008
85views more  DAM 2008»
14 years 9 months ago
The competition numbers of complete tripartite graphs
For a graph G, it is known to be a hard problem to compute the competition number k(G) of the graph G in general. In this paper, we give an explicit formula for the competition nu...
Suh-Ryung Kim, Yoshio Sano
FCT
2005
Springer
15 years 3 months ago
Exact Algorithms for Graph Homomorphisms
Graph homomorphism, also called H-coloring, is a natural generalization of graph coloring: There is a homomorphism from a graph G to a complete graph on k vertices if and only if ...
Fedor V. Fomin, Pinar Heggernes, Dieter Kratsch
IPCO
1998
125views Optimization» more  IPCO 1998»
14 years 11 months ago
A Characterization of Weakly Bipartite Graphs
We give a proof of Guenin's theorem characterizing weakly bipartite graphs by not having an odd-K5 minor. The proof curtails the technical and case-checking parts of Guenin�...
Bertrand Guenin
CPC
1998
64views more  CPC 1998»
14 years 9 months ago
Isoperimetric Inequalities for Cartesian Products of Graphs
We give a characterization for isoperimetric invariants, including the Cheeger constant and the isoperimetric number of a graph. This leads to an isoperimetric inequality for the ...
Fan R. K. Chung, Prasad Tetali
SIAMDM
1998
95views more  SIAMDM 1998»
14 years 9 months ago
The Graphs with All Subgraphs T-Perfect
The richest class of t-perfect graphs known so far consists of the graphs with no so-called odd-K4. Clearly, these graphs have the special property that they are hereditary t-perfe...
A. M. H. Gerards, F. Bruce Shepherd