Self-dual regular maps from medial graphs.
Archdeacon, D., Širáň, J., Škoviera, M. (1992)
Acta Mathematica Universitatis Comenianae. New Series
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Displaying similar documents to “Bipartite-uniform hypermaps on the sphere.”
Self-dual regular maps from medial graphs.
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The Existence of Quasi Regular and Bi-Regular Self-Complementary 3-Uniform Hypergraphs
Lata N. Kamble, Charusheela M. Deshpande, Bhagyashree Y. Bam (2016)
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A k-uniform hypergraph H = (V ;E) is called self-complementary if there is a permutation σ : V → V , called a complementing permutation, such that for every k-subset e of V , e ∈ E if and only if σ(e) ∉ E. In other words, H is isomorphic with H′ = (V ; V(k) − E). In this paper we define a bi-regular hypergraph and prove that there exists a bi-regular self-complementary 3-uniform hypergraph on n vertices if and only if n is congruent to 0 or 2 modulo 4. We also prove that there exists...
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