On the harmonic index of graph operations
The harmonic index of a connected graph G , denoted by H(G) , is defined as H(G)=∑ uv∈E(G) 2d u +d v where d v is the degree of a vertex v in G. In this paper, expressions for the Harary indices of the join, corona product, Cartesian product, composition and symmetric diff...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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University of Isfahan
2015-12-01
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| Series: | Transactions on Combinatorics |
| Subjects: | |
| Online Access: | http://www.combinatorics.ir/pdf_7389_3e9ec295be34a42ee71a0570cc2fbfa9.html |
| Summary: | The harmonic index of a connected graph G , denoted by H(G) , is defined as H(G)=∑ uv∈E(G) 2d u +d v where d v is the degree of a vertex v in G. In this paper, expressions for the Harary indices of the join, corona product, Cartesian product, composition and symmetric difference of graphs are derived. |
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| ISSN: | 2251-8657 2251-8665 |