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» A Note on Graph Pebbling
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COMBINATORICS
2006
107views more  COMBINATORICS 2006»
13 years 7 months ago
On the Symmetry of the Distribution of k-Crossings and k-Nestings in Graphs
This note contains two results on the distribution of k-crossings and k-nestings in graphs. On the positive side, we exhibit a class of graphs for which there are as many k-noncro...
Anna de Mier
DM
2000
150views more  DM 2000»
13 years 7 months ago
A note on generalized chromatic number and generalized girth
Erdos proved that there are graphs with arbitrarily large girth and chromatic number. We study the extension of this for generalized chromatic numbers. Generalized graph coloring d...
Béla Bollobás, Douglas B. West
ARSCOM
2008
65views more  ARSCOM 2008»
13 years 7 months ago
Strongly pan-factorial property in cages
A (k; g)-graph is a k-regular graph with girth g. A (k; g)-cage is a (k; g)-graph with the least number of vertices. In this note, we show that (k; g)-cage has an r-factor of girt...
Guizhen Liu, Qinglin Yu
ARSCOM
1998
104views more  ARSCOM 1998»
13 years 7 months ago
A Note on the Road-Coloring Conjecture
Some results relating to the road-coloring conjecture of Alder, Goodwyn, and Weiss, which give rise to an O(n2) algorithm to determine whether or not a given edge-coloring of a gra...
E. Gocka, Walter W. Kirchherr, Edward F. Schmeiche...
ICDCS
2009
IEEE
14 years 4 months ago
A Note on Distributed Stable Matching
We consider the distributed complexity of the stable marriage problem. In this problem, the communication graph is undirected and bipartite, and each node ranks its neighbors. Giv...
Alex Kipnis, Boaz Patt-Shamir