We find the number of partitions of n whose BG-rank is j, in terms of pp(n), the number of pairs of partitions whose total number of cells is n, giving both bijective and generati...
We determine the circular chromatic index of flower snarks, by showing that c(F3) = 7/2, c(F5) = 17/5 and c(Fk) = 10/3 for every odd integer k 7, where Fk denotes the flower snar...
We show that the Grothendieck bialgebra of the semi-tower of partition lattice algebras is isomorphic to the graded dual of the bialgebra of symmetric functions in noncommutative ...
We introduce a new statistic on linear and circular r-mino arrangements which leads to interesting polynomial generalizations of the r-Fibonacci and r-Lucas sequences. By studying...
A unit bar-visibility graph is a graph whose vertices can be represented in the plane by disjoint horizontal unit-length bars such that two vertices are adjacent if and only if th...
Guantao Chen, Joan P. Hutchinson, Ken Keating, Jia...