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math.CO2018
A generalization of the Tutte polynomials
Tsuyoshi Miezaki, Manabu Oura, Tadashi Sakuma +1
In this paper, we introduce the concept of the Tutte polynomials of genus and discuss some of its properties. We note that the Tutte polynomials of genus one are well-known Tut…
math.CO2018
On the weighted safe set problem on paths and cycles
Shinya Fujita, Tommy Jensen, Boram Park +1
Let be a graph, and let be a weight function on the vertices of . For every subset of , let A non-empty subset…