20 citations · 36 across the 11 of their papers we have counts for
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math.CO2012★ 5 cited
On a Conjecture of Andrica and Tomescu
Blair D. Sullivan
Let S(n) be the integer sequence which is the coefficient of x^{n(n+1)/4} in the expansion of (1+x)(1+x^2), ..., (1+x^n) for positive integers n congruent to 0 or 3 mod 4. We prove…
math.CO2012★ 3 cited
Counting paths in digraphs
Paul Seymour, Blair D. Sullivan
Say a digraph is k-free if it has no directed cycles of length at most k, for positive integers k. Thomasse conjectured that the number of induced 3-vertex directed paths in a simp…
math.CO2006★ 20 cited
A Summary of Problems and Results related to the Caccetta-Haggkvist Conjecture
Blair Dowling Sullivan
This paper is an attempt to survey the current state of our knowledge on the Caccetta-Haggkvist conjecture and related questions. In January 2006 there was a workshop hosted by the…