P. C. Kainen

activity

20212025

most citedA new view of hypercube genus

11 citations · 27 across the 16 of their papers we have counts for

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Showing 2025Show all

2 papers · 1 filter

math.CO2025

Sunlet factors for Cartesian products of cycles

Henry Jervis, Paul C. Kainen

A sunlet is a cycle with a pendant edge attached at each vertex of the cycle. For the bipartite toroidal grid graphs $C_{2 n} □ C_{2 n}$ , factorizations into sunlets are given by…

math.CO2025

Skewness, crossing number and Euler's bound for graphs on surfaces

Paul C. Kainen

For every connected graph $G$ and surface $S$ , we consider the well-known string of inequalities $δ_{S} (G) \leq μ_{S} (G) \leq ν_{S} (G)$ , where $μ$ and $ν$ denote skewness and crossing nu…