3 citations · 3 across the 3 of their papers we have counts for
6 papers · 1 filter
Topology of augmented Bergman complexes
Elisabeth Bullock, Aidan Kelley, Victor Reiner +6
The augmented Bergman complex of a matroid is a simplicial complex introduced recently in work of Braden, Huh, Matherne, Proudfoot and Wang. It may be viewed as a hybrid of two wel…
On the probability of existence of a universal cycle or a universal word for a set of words
Herman Z. Q. Chen, Sergey Kitaev, Brian Y. Sun
A universal cycle, or u-cycle, for a given set of words is a circular word that contains each word from the set exactly once as a contiguous subword. The celebrated de Bruijn seque…
Proof of a Conjecture of Z.-W. Sun on Trigonometric Series
Brian Y. Sun, J. X. Meng
Recently, Z. W. Sun introduced a sequence , where , and found one congruence and two convergent seri…
Two-log-convexity of the Catalan-Larcombe-French sequence
Brian Yi Sun, Baoyindureng Wu
The Catalan-Larcombe-French sequence arises in a series expansion of the complete elliptic integral of the first kind. It has been proved that the sequence is l…
Word-representability of subdivisions of triangular grid graphs
Zongqing Chen, Sergey Kitaev, Brian Y. Sun
A graph is word-representable if there exists a word over the alphabet such that letters and alternate in if and only if . A triangular gr…
Melham's Conjecture on Odd Power Sums of Fibonacci Numbers
Brian Y. Sun, Matthew H. Y. Xie, Arthur L. B. Yang
Ozeki and Prodinger showed that the odd power sum of the first several consecutive Fibonacci numbers of even order is equal to a polynomial evaluated at certain Fibonacci number of…