The Connective Eccentricity Index of Hypergraphs
Copyright policy )The Connective Eccentricity Index of Hypergraphs
The connective eccentricity index (CEI) of a hypergraph G is defined as ξce(G)=∑v∈V(G)dG(v)εG(v), where εG(v) and dG(v) denote the eccentricity and the degree of the vertex v, respectively. In this paper, we determine the maximal and minimal values of the connective eccentricity index among all k-uniform hypertrees on n vertices and characterize the corresponding extremal hypertrees. Finally, we establish some relationships between the connective eccentricity index and the eccentric connectivity index of hypergraphs.
- Guizhou University of Finance and Economics China (People's Republic of)
hypergraphs, QA1-939, connective eccentricity index, connective eccentricity index; <i>k</i>-uniform hypertrees; hypergraphs; maximal and minimal values, <i>k</i>-uniform hypertrees, maximal and minimal values, Mathematics
hypergraphs, QA1-939, connective eccentricity index, connective eccentricity index; <i>k</i>-uniform hypertrees; hypergraphs; maximal and minimal values, <i>k</i>-uniform hypertrees, maximal and minimal values, Mathematics
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