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math.CO2025
Marked multi-colorings, partially commutative Lie superalgebras and right-angled Coxeter groups
Chaithra P, Deniz Kus, R. Venkatesh
Infinite-dimensional Lie superalgebras, particularly Borcherds-Kac-Moody (BKM) superalgebras, play a fundamental role in mathematical physics, number theory, and representation the…
math.CO2022
Identities of the multi-variate independence polynomials from heaps theory
Deniz Kus, Kartik Singh, R. Venkatesh
We study and derive identities for the multi-variate independence polynomials from the perspective of heaps theory. Using the inversion formula and the combinatorics of partially c…
math.CO2016★ 3 cited
Root multiplicities for Borcherds algebras and graph coloring
G. Arunkumar, Deniz Kus, R. Venkatesh
We establish a connection between root multiplicities for Borcherds-Kac-Moody algebras and graph coloring. We show that the generalized chromatic polynomial of the graph associated…