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JCT
2006
80views more  JCT 2006»
14 years 9 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 9 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 9 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 9 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 9 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