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

Original Research


The vertex k-partiteness \(v_k(G)\) 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.


Vertex k-partiteness Monotonic topological index Extremal graph 

Mathematics Subject Classification

05C12 05C35 



The authors would like to express their sincere gratitude to the editors and the anonymous referees for many friendly and helpful suggestions, which led to great deal of improvement of the original manuscript.


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Copyright information

© Korean Society for Computational and Applied Mathematics 2018

Authors and Affiliations

  1. 1.School of Mathematics and Computer ScienceChizhou UniversityChizhouChina
  2. 2.School of Mathematics and PhysicsAnhui Jianzhu UniversityHefeiChina

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