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A cyclic construction is presented for building embeddings of the complete tripartite graph K n,n,n on a nonorientable surface such that the boundary of every face is a hamilton cycle. This construction works for several families of values of n, and we extend the result to all n with some methods of Bouchet and others. The nonorientable genus of K t,n,n,n ,(More)
In diabetes, overexpression of aldose reductase (AR) and consequent glucose-induced impairment of antioxidant defense systems may predispose to oxidative stress and the development of diabetic complications, but the mechanisms are poorly understood. Taurine (2-aminoethanesulfonic acid) functions as an antioxidant, osmolyte, and calcium modulator such that(More)
In an earlier paper the authors constructed a hamilton cycle embedding of Kn,n,n in a nonori-entable surface for all n ≥ 1 and then used these embeddings to determine the genus of some large families of graphs. In this two-part series, we extend those results to orientable surfaces for all n = 2. In part II, a voltage graph construction is presented for(More)
Copyright and Moral Rights for the articles on this site are retained by the individual authors and/or other copyright owners. For more information on Open Research Online's data policy on reuse of materials please consult the policies page. Abstract It is shown that for v ≡ 1 or 3 (mod 6), every pair of Heffter difference sets modulo v gives rise to a(More)
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