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» A Radio Coloring of a Hypercube
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IJCM
2002
83views more  IJCM 2002»
13 years 4 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
SIAMDM
2008
81views more  SIAMDM 2008»
13 years 4 months ago
Polychromatic Colorings of Subcubes of the Hypercube
Alon, Krech, and Szab
David Offner
JGT
2006
81views more  JGT 2006»
13 years 4 months ago
A Ramsey-type result for the hypercube
We prove that for every fixed k and 5 and for sufficiently large n, every edge coloring of the hypercube Qn with k colors contains a monochromatic cycle of length 2 . This answer...
Noga Alon, Rados Radoicic, Benny Sudakov, Jan Vond...
IPL
2002
110views more  IPL 2002»
13 years 4 months ago
New bounds on a hypercube coloring problem
In studying the scalability of optical networks, one problem which arises involves coloring the vertices of the n-cube with as few colors as possible such that any two vertices wh...
Hung Q. Ngo, Ding-Zhu Du, Ronald L. Graham