Shetty, Jyothi and Sudhakara, G and Madhusudanan, Vinay (2021) On the existence of semigraphs and complete semigraphs with given parametersq. Aim Shams Engineering Journal, 12. pp. 4119-4124. ISSN 2090-4479

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Abstract

E. Sampathkumar has generalized a graph to a semigraph by allowing an edge to have more than two vertices. Like in the case of graphs, a complete semigraph is a semigraph in which every two vertices are adjacent to each other. In this article, we have generalized a problem noted by Gauss in 1796 about triangular numbers and shown that it is the deciding factor of when a semigraph is complete

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