Toroidal Cartesian Products Where One Factor is 3-Connected

Elizabeth Badgett, Christian Millichap, Kenta Noguchi

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Source: Crossref

Published: Apr 16, 2026

DOI: 10.1007/s00373-026-03044-6

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Source abstract

Abstract In this paper, we show that if G is 3-connected, then the Cartesian product of graphs "Equation missing" embeds on the torus if and only if G is outer-cylindrical and H is a path on two vertices, $P_2$ P 2 . As a by-product of our work, we also show that "Equation missing" has genus two.

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