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.
               
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