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JCT
2006
80views more  JCT 2006»
14 years 12 months ago
Extending precolorings to circular colorings
Fix positive integers k , d , k, d such that k /d > k/d 2. If P is a set of vertices in a (k, d)-colorable graph G, and any two vertices of P are separated by distance at leas...
Michael O. Albertson, Douglas B. West
JCT
2006
46views more  JCT 2006»
14 years 12 months ago
Optimal tristance anticodes in certain graphs
For z1, z2, z3 Zn, the tristance d3(z1, z2, z3) is a generalization of the L1-distance on Zn to a quantity that reflects the relative dispersion of three points rather than two. ...
Tuvi Etzion, Moshe Schwartz, Alexander Vardy
JCT
2006
87views more  JCT 2006»
14 years 12 months ago
Construction of bent functions via Niho power functions
A Boolean function with an even number n = 2k of variables is called bent if it is maximally nonlinear. We present here a new construction of bent functions. Boolean functions of ...
Hans Dobbertin, Gregor Leander, Anne Canteaut, Cla...
JCT
2006
79views more  JCT 2006»
14 years 12 months ago
Reciprocity for multirestricted Stirling numbers
Multirestricted Stirling numbers of the second kind count the number of partitions of a given set into a given number of parts, each part being restricted to at most a fixed number...
Ji Young Choi, Ling Long, Siu-Hung Ng, Jonathan Sm...
JCT
2006
52views more  JCT 2006»
14 years 12 months ago
Further combinatorial constructions for optimal frequency-hopping sequences
Frequency-hopping multiple-access (FHMA) spread spectrum communication systems employing multiple frequency shift keying as data modulation technique were investigated by Fuji-Har...
Gennian Ge, Ryoh Fuji-Hara, Ying Miao