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EJC
2011
15 years 1 months ago
Cubic time recognition of cocircuit graphs of uniform oriented matroids
We present an algorithm which takes a graph as input and decides in cubic time if the graph is the cocircuit graph of a uniform oriented matroid. In the affirmative case the algor...
Stefan Felsner, Ricardo Gómez Aiza, Kolja B...
COMBINATORICS
2006
89views more  COMBINATORICS 2006»
15 years 6 months ago
Rainbow H-factors
An H-factor of a graph G is a spanning subgraph of G whose connected components are isomorphic to H. Given a properly edge-colored graph G, a rainbow H-subgraph of G is an H-subgr...
Raphael Yuster
DAM
1999
77views more  DAM 1999»
15 years 6 months ago
Compound Constructions of Broadcast Networks
Compound methods have been shown to be very e ective in the construction of broadcast graphs. Compound methods generate a large broadcast graph by combining multiple copies of a b...
Michael J. Dinneen, Jose A. Ventura, Mark C. Wilso...
DAM
1999
105views more  DAM 1999»
15 years 6 months ago
The b-chromatic Number of a Graph
The achromatic number (G) of a graph G = (V, E) is the maximum k such that V has a partition V1, V2, . . . , Vk into independent sets, the union of no pair of which is independent...
Robert W. Irving, David Manlove
DAM
2007
81views more  DAM 2007»
15 years 6 months ago
Graphs, partitions and Fibonacci numbers
The Fibonacci number of a graph is the number of independent vertex subsets. In this paper, we investigate trees with large Fibonacci number. In particular, we show that all trees...
Arnold Knopfmacher, Robert F. Tichy, Stephan Wagne...