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math.CO2024
Propp's benzels and Lai's nearly symmetric hexagons with holes
Seok Hyun Byun, Mihai Ciucu, Yi-Lin Lee
In this paper we present a new version of the second author's factorization theorem for perfect matchings of symmetric graphs. We then use our result to solve four open problems of…
math.CO2024
Perfect matchings and spanning trees: squarishness, bijections and independence
Seok Hyun Byun, Mihai Ciucu
A number which is either the square of an integer or two times the square of an integer is called squarish. There are two main results in the literature on graphs whose number of p…