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JCT
2010
14 years 8 months ago
2010
We study a q-analog Qr(n, q) of the partition algebra Pr(n). The algebra Qr(n, q) arises as the centralizer algebra of the finite general linear group GLn(Fq) acting on a vector ...
JCT
2010
14 years 8 months ago
2010
Abstract. New enumerating functions for the Euler numbers are considered. Several of the relevant generating functions appear in connection to entries in Ramanujan’s Lost Noteboo...
COMBINATORICS
2004
14 years 9 months ago
2004
In this paper, we examine partitions classified according to the number r() of odd parts in and s() the number of odd parts in , the conjugate of . The generating function for ...
COMBINATORICS
2004
14 years 9 months ago
2004
We construct smallest known trivalent graphs for girths 16 and 18. One construction uses voltage graphs, and the other coset enumeration techniques for group presentations. AMS Su...
COMBINATORICS
2004
14 years 9 months ago
2004
A positive list (list of positive integers) is protographic if its merger with all but finitely many positive graphic lists is graphic. Define the family Ps of s-protogaphic lists...