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- W4200198766 abstract "The eccentric connectivity index of a connected hypergraph G with vertex set V(G) is defined as ξc(G)=∑u∈V(G)duηu, where du denotes the degree of u and ηu denotes the eccentricity of u in G. We propose some hypergraph transformations that increase or decrease the eccentric connectivity index of a uniform hypergraph. We determine the unique k-uniform hypertrees with the first two largest eccentric connectivity indices, as well as the unique k-uniform hypertrees with the first three smallest eccentric connectivity indices among k-uniform hypertrees with fixed number of edges. We determine the unique hypertrees with the largest and the smallest eccentric connectivity indices respectively among k-uniform hypertrees with fixed number of edges and fixed diameter. We determine the unique hypertrees with the largest eccentric connectivity index among k-uniform hypertrees with fixed number of edges and fixed maximum degree. We also determine the unique hypergraphs with the largest and the smallest eccentric connectivity indices respectively among k-uniform unicyclic hypergraphs with fixed number of edges." @default.
- W4200198766 created "2021-12-31" @default.
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- W4200198766 date "2022-03-01" @default.
- W4200198766 modified "2023-09-26" @default.
- W4200198766 title "On the eccentric connectivity index of uniform hypergraphs" @default.
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- W4200198766 doi "https://doi.org/10.1016/j.dam.2021.11.018" @default.
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