11 citations · 11 across the 5 of their papers we have counts for
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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 -dimensional regular CW-complexes, we show that {\it evenness} (each -cell is contained in an even number of -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 -dimensional hypercube graph can be embedded. We give a new proof of the formula by…