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On edge product hypergraphs | ||
| Journal of Hyperstructures | ||
| دوره 10، شماره 1، شهریور 2021، صفحه 1-12 اصل مقاله (335.51 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2021.2636 | ||
| نویسندگان | ||
| Kishor F. Pawar* 1؛ Megha M. Jadhav2 | ||
| 1Department of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, 425 001, India | ||
| 2Department of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University Jalgaon-425 001, India | ||
| چکیده | ||
| In this paper we introduced the notion of an edge product hypergraph. A hypergraph H is said to be an edge product hypergraph if edges of hypergraph can be labeled with distinct positive integers such that the product of all the labels of edges incident to a vertex is again an edge label of H and if the product of any collection of edges is a label of an edge in H then, they are incident to a vertex. Here we have proved some important results by which one can verify that given hypergraph is a unit edge product hypergraph or not. We also found some results on domination number and inverse domination number of edge product hypergraph and its complement. | ||
| کلیدواژهها | ||
| edge product hypergraph؛ unit edge product hypergraph؛ domination number | ||
| مراجع | ||
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[1] C. Berge, Graphs and Hypergraphs, North-Holland, Amsterdam, 1973. [2] C. Berge, Hypergraphs, Combinatorics of Finite Sets, North-Holland, Amsterdam, 1989. [3] Bibin K. Jose, Zs. Tuza, Hypergraph Domination and Strong Independence, Appl. Anal. Discrete Math., 3 (2009), 347-358. [4] Gallian Joseph A, A dynamic survey of graph labelling, Electronic J. Combin., 16 (2000), 39{48. [5] F. Harary, Sum graphs and di erence graphs, Congress. Numer., 72 (1990), 101-108. [6] A. Rosa, On certain valuations of the vertices of a graph, Theory of Graphs Inter Nat. Symposium, Rome, July 1966, Gordon and N.Y.Breach and Dunod, Paris, (1988) 349-355. [7] Thavamani J. P. and Ramesh D.S.T., Edge product graphs and its properties, The IUP Journal of Computational Mathematics, 4 (2011), 30-38. | ||
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