Results 31 to 40 of about 3,633,781 (192)

The expected values of the total numbers of independent edge sets and independent sets in random alpha-type pentagonal chains

open access: yesHeliyon, 2023
A independent edge set of G containing mutually independent edges is also called a matching of G. The total numbers of matchings and independent sets of a graph G, namely, the Hosoya index and the Merrifield-Simmons index, respectively, are two important
Lina Wei, Hong Bian, Haizheng Yu
doaj   +1 more source

Bounds for the Hosoya Index

open access: yesZeitschrift für Naturforschung A, 1987
Some inequalities for Hosoya's topological index are deduced, revealing its dependence on the structure of the carbon-atom sekeleton of a hydrocarbon molecule.
I. Gutman, J. Cioslowski
openaire   +1 more source

COMPARISON OF THE EFFECTS OF MANURE-BASED PRODUCT AND AMMONIUM NITRATE ON MAIZE (ZEA MAYS L.) [PDF]

open access: yesNatural Resources and Sustainable Development, 2022
The storage and application of huge amounts of deep litter manure could be a serious issue generated by livestock systems. As broiler litter has high N and fiber content, pre-treatment is strongly recommended. Composting is one of the key method of pre-
Nagy Attila   +5 more
doaj   +1 more source

Approximate Formulas for Hosoya’s Topological Index [PDF]

open access: yesBulletin of the Chemical Society of Japan, 1987
Abstract Approximate formulas for Hosoya’s topological index (Z) are reported for the first time. These formulas reproduce In Z with an error of some 1–2% and require the knowledge of only a few easily obtainable invariants of the molecular graph.
Ivan Gutman, Zoran Markovic
openaire   +1 more source

Distance-Based Polynomials and Topological Indices for Hierarchical Hypercube Networks

open access: yesJournal of Mathematics, 2021
Topological indices are the numbers associated with the graphs of chemical compounds/networks that help us to understand their properties. The aim of this paper is to compute topological indices for the hierarchical hypercube networks. We computed Hosoya
Tingmei Gao, Iftikhar Ahmed
doaj   +1 more source

Hosoya, Schultz, and Gutman Polynomials of Generalized Petersen Graphs Pn,1 and Pn,2

open access: yesJournal of Mathematics, 2023
The graph theory has wide important applications in various other types of sciences. In chemical graph theory, we have many topological polynomials for a graph G through which we can compute many topological indices.
Ramy Shaheen   +2 more
doaj   +1 more source

Computing the hosoya and the merrifield-simmons indices of two special benzenoid systems [PDF]

open access: yes, 2021
Gutman et al. gave some relations for computing the Hosoya indices of two special benzenoid systems R-n and P-n. In this paper, we compute the Hosoya index and Merrifield-Simmons index of R-n and P-n, by means of introducing four vectors for each ...
Öz, Mert Sinan, Cangül, İsmail Naci
core   +1 more source

Trees with m-matchings and the fourth and fifth minimal Hosoya index [PDF]

open access: yes, 2008
We study the Hosoya index of trees with m-matchings and characterize the trees with m-matchings and the fourth and fifth minimal Hosoya index ...
Ye, Chengfu, Wang, Jianfeng
core   +1 more source

Hosoya Polynomials of Power Graphs of Certain Finite Groups

open access: yesMolecules, 2022
Assume that G is a finite group. The power graph P(G) of G is a graph in which G is its node set, where two different elements are connected by an edge whenever one of them is a power of the other.
Bilal Ahmad Rather   +3 more
doaj   +1 more source

The smallest Hosoya index of unicyclic graphs with given diameter [PDF]

open access: yes, 2012
The Hosoya index of a (molecular) graph is defined as the total number of the matchings, including the empty edge set, of this graph. Let ${\cal{U}}_{n,d}$ be the set of connected unicyclic (molecular) graphs of order n with diameter d. In this paper we
Xu, Kexiang
core   +1 more source

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