Bounds on Harary index

By K. C. Das, Bo Zhou, Nenad Trinajstic. 2009

65 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Organic Chemistry

View Paper: https://www.semanticscholar.org/paper/dbb3af502fe77d2a8caed327f77b9923db64a34c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Boris Furtula
2. K. C. Das
3. Ivan Gutman
4. A. Güngör
5. A. Cevik
6. Kexiang Xu
7. Bo Zhou
8. Ernesto Estrada

In Geometry and Topology

1. Boris Furtula
2. K. C. Das
3. Ivan Gutman
4. A. Güngör
5. A. Cevik
6. Kexiang Xu
7. Bo Zhou
8. Ernesto Estrada

In Organic Chemistry

1. Boris Furtula
2. K. C. Das
3. Ivan Gutman
4. A. Güngör
5. A. Cevik
6. Kexiang Xu
7. Bo Zhou
8. Ernesto Estrada

Citations in the corpus

• On the Harary Energy and Harary Estrada Index of a Graph (2010, background): “We also note that Harary index also plays an important role in the (molecular) chemistry and, in [3, 25], it has been recently given a well organized introduction and references about Harary index, and, additionally, depicted some connections and bounds on the Harary index.”
• A Survey on Graphs Extremal with Respect to Distance-Based Topological Indices (2014, background): “The right equality holds if and only if G is a graph with diameter d ≤ 2 or G ∼= Pn ; (2) ([20]) H(Pd+1) + n(n−1)+2(m−d)(d−1) 2d − d+1 2 ≤ H(G) ≤ H(Pd+1) + n(n−1)+2m 4 − d(d+3) 4 with the left equality holding if and only if G is a graph with diameter d ≤ 2 or G ∼= Pn, and the right equality holding”