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On leap Zagreb indices of graphs | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 3، دوره 2، شماره 2، آذر 2017، صفحه 99-117 اصل مقاله (451.56 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2017.25949.1059 | ||
| نویسندگان | ||
| Ivan Gutman* 1؛ Ahmed M Naji2؛ Nandappa D Soner3 | ||
| 1University of Kragujevac | ||
| 2Department of Mathematics, University of Mysore, Mysusu, India | ||
| 3Department of Mathematics, University of Mysore, Mysuru, India | ||
| چکیده | ||
| The first and second Zagreb indices of a graph are equal, respectively, to the sum of squares of the vertex degrees, and the sum of the products of the degrees of pairs of adjacent vertices. We now consider analogous graph invariants, based on the second degrees of vertices (number of their second neighbors), called leap Zagreb indices. A number of their basic properties is established. | ||
| کلیدواژهها | ||
| degree (of vertex)؛ Second degree؛ Zagreb indices؛ leap Zagreb indices | ||
| مراجع | ||
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