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Title: | The diameter of an interval graph is twice of its radius |
Authors: | Pramanik, Tarasankar Mondal, Sukumar Pal, Madhumangal |
Keywords: | Interval graph Interval tree center center |
Issue Date: | Aug-2021 |
Publisher: | World Academy of Science, Engineering and Technology |
Abstract: | In an interval graph G = (V,E) the distance between two vertices u, v is de£ned as the smallest number of edges in a path joining u and v. The eccentricity of a vertex v is the maximum among distances from all other vertices of V . The diameter (δ) and radius (ρ) of the graph G is respectively the maximum and minimum among all the eccentricities of G. The center of the graph G is the set C(G) of vertices with eccentricity ρ. In this context our aim is to establish the relation ρ = δ 2 for an interval graph and to determine the center of it . |
URI: | http://111.93.204.14:8080/xmlui/handle/123456789/1145 |
Appears in Collections: | Articles |
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tarasankar___DIGTR.pdf | 139.59 kB | Adobe PDF | View/Open |
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