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» Packing Cycles in Graphs
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104
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RSA
2002
81views more  RSA 2002»
15 years 6 days ago
Decycling numbers of random regular graphs
: The decycling number (G) of a graph G is the smallest number of vertices which can be removed from G so that the resultant graph contains no cycles. In this paper, we study the d...
Sheng Bau, Nicholas C. Wormald, Sanming Zhou
131
Voted
SWAT
1994
Springer
130views Algorithms» more  SWAT 1994»
15 years 4 months ago
Dominating Cliques in Distance-Hereditary Graphs
A graph is distance-hereditary if and only if each cycle on five or more vertices has at least two crossing chords. We present linear time algorithms for the minimum r-dominating c...
Feodor F. Dragan
COMBINATORICA
2008
88views more  COMBINATORICA 2008»
15 years 20 days ago
Geometric graphs with no two parallel edges
We give a simple proof for a theorem of Katchalski, Last, and Valtr, asserting that the maximum number of edges in a geometric graph G on n vertices with no pair of parallel edges...
Rom Pinchasi
113
Voted
COMBINATORICS
2002
111views more  COMBINATORICS 2002»
15 years 11 days ago
A Density Result for Random Sparse Oriented Graphs and its Relation to a Conjecture of Woodall
We shall prove that for all 3 and > 0 there exists a sparse oriented graph of arbitrarily large order with oriented girth and such that any 1/2 + proportion of its arcs induc...
Jair Donadelli, Yoshiharu Kohayakawa
DM
2002
69views more  DM 2002»
15 years 11 days ago
Non-chordal graphs having integral-root chromatic polynomials II
It is known that the chromatic polynomial of any chordal graph has only integer roots. However, there also exist non-chordal graphs whose chromatic polynomials have only integer r...
Feng Ming Dong, Kee L. Teo, Khee Meng Koh, Michael...