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JCT
2010
13 years 7 months ago
2010
In 1978, Chv´atal and Thomassen proved that every 2-edge-connected graph with diameter 2 has an orientation with diameter at most 6. They also gave general bounds on the smallest...
JCT
2010
13 years 7 months ago
2010
Combinatorial proofs are given for certain entries in Ramanujan’s lost notebook. Bijections of Sylvester, Franklin, Wright, and Yee are employed. A new bijection, involving the n...
JCT
2010
13 years 3 months ago
2010
We determine the nature of the fixed point sets of groups of order p, acting on complexes of distinguished p-subgroups (those p-subgroups containing pcentral elements in their cent...
JCT
2010
13 years 7 months ago
2010
We find the winning strategy for a class of truncation games played on words. As a consequence of the present author’s recent results on some of these games we obtain new formul...
JCT
2010
13 years 7 months ago
2010
A k-signed r-set on [n] = {1, ..., n} is an ordered pair (A, f), where A is an rsubset of [n] and f is a function from A to [k]. Families A1, ..., Ap are said to be cross-intersec...