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Graphs having extremal monotonic topological indices with bounded vertex k-partiteness

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The vertex k-partiteness $$v_k(G)$$vk(G) of graph G is defined as the fewest number of vertices whose deletion from G yields a k-partite graph. In this paper, we introduce some monotonic… Click to show full abstract

The vertex k-partiteness $$v_k(G)$$vk(G) of graph G is defined as the fewest number of vertices whose deletion from G yields a k-partite graph. In this paper, we introduce some monotonic topological indices, and characterize the extremal corresponding graphs among graphs of order n and fixed vertex k-partiteness.

Keywords: monotonic topological; topological indices; vertex partiteness; graphs extremal

Journal Title: Journal of Applied Mathematics and Computing
Year Published: 2017

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