Richard H. Hammack

11 citations · 11 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2023

Eulerian 2-Complexes

Richard H. Hammack, Paul C. Kainen

It is shown that Euler's theorem for graphs can be generalized for 2-complexes. Two notions that generalize cycle and Eulerian tour are introduced (``circlet'' and ``Eulerian cover…

math.GT2023

Euler's Theorem for Regular CW-Complexes

Richard H. Hammack, Paul C. Kainen

For strongly connected, pure $n$ -dimensional regular CW-complexes, we show that {\it evenness} (each $(n - 1)$ -cell is contained in an even number of $n$ -cells) is equivalent to ge…

math.CO2023★ 11 cited

A new view of hypercube genus

Richard H. Hammack, Paul C. Kainen

Beineke, Harary and Ringel discovered a formula for the minimum genus of a torus in which the $n$ -dimensional hypercube graph can be embedded. We give a new proof of the formula by…