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» On embedding complete graphs into hypercubes
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ENDM
2002
113views more  ENDM 2002»
13 years 5 months ago
On robust cycle bases
Two types of robust cycle bases are defined via recursively nice arrangements; complete and bipartite complete graphs are shown to have such bases. It is shown that a diagram in a...
Paul C. Kainen
IJCM
2002
83views more  IJCM 2002»
13 years 5 months ago
A Radio Coloring of a Hypercube
A radio coloring of a graph G is an assignment of nonnegative integers to its nodes so that each pair of adjacent nodes have color numbers that differ by at least two, and any pai...
Ophir Frieder, Frank Harary, Peng-Jun Wan
JCT
2007
98views more  JCT 2007»
13 years 5 months ago
Triangular embeddings of complete graphs from graceful labellings of paths
We show that to each graceful labelling of a path on 2s + 1 vertices, s ≥ 2, there corresponds a current assignment on a 3-valent graph which generates at least 22s cyclic orien...
Luis A. Goddyn, R. Bruce Richter, Jozef Sirá...
STOC
1993
ACM
109views Algorithms» more  STOC 1993»
13 years 9 months ago
Routing permutations on graphs via matchings
We consider a class of routing problems on connected graphs G. Initially, each vertex v of G is occupied by a “pebble” which has a unique destination π(v) in G (so that π is...
Noga Alon, Fan R. K. Chung, Ronald L. Graham
COMBINATORICS
1999
93views more  COMBINATORICS 1999»
13 years 5 months ago
Induced Complete h-partite Graphs in Dense Clique-less Graphs
It is proven that for every fixed h, a and b, a graph with n vertices and minimum degree at least h-1 h n, which contains no copy of Kb (the complete graph with b vertices), conta...
Eldar Fischer