5 citations · 17 across the 11 of their papers we have counts for
12 papers
Factorial characters of classical Lie groups and their combinatorial realisations
Angèle M. Hamel, Ronald C. King
Just as the definition of factorial Schur functions as a ratio of determinants allows one to show that they satisfy a Jacobi-Trudi-type identity and have an explicit combinatorial…
Chromatic symmetric functions and H-free graphs
Angèle M. Hamel, Chính T. Hoàng, Jake E. Tuero
Two celebrated conjectures in chromatic symmetric function theory concern the positivity chromatics symmetric functions of claw-free graphs. Here we extend the claw-free idea to ge…
Factorial characters of some classical Lie groups
Angèle Hamel, Ronald King
A definition is offered of the factorial characters of the general linear group, the symplectic group and the orthogonal group in an odd dimensional space. It is shown that these c…
A note on corollaries to Tokuyama's Identity for symplectic Schur -Functions
Angèle M. Hamel, Ronald C. King
We present some corollaries to a symplectic primed shifted tableaux version of Tokuyama's identity expressed in terms of other combinatorial constructs, namely generalised -turn…
A Coloring Algorithm for -free line graphs
Dallas J. Fraser, Angèle M. Hamel, Chính T. Hoàng
Let be a set of graphs. () is the set of graphs that do not contain any graph in as an induced subgraph. It is known that if is a set of four-vertex graphs, th…
Tokuyama's Identity for Factorial Schur Functions
Angèle M. Hamel, Ronald C. King
A recent paper of Bump, McNamara and Nakasuji introduced a factorial version of Tokuyama's identity, expressing the partition function of a six vertex model as the product of a t-d…