Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/hosoya-and-merrifleld-simmons-indices-in-random-polyphenyl-chains-OZMWyg7sCp
References (22)
-
D. Flower (1998)
On the Properties of Bit String-Based Measures of Chemical SimilarityJ. Chem. Inf. Comput. Sci., 38
-
I Gutman (1977)
63Publ. Inst. Math., 22
-
AL Chen (2009)
623MATCH, 61
-
KC Deng (2012)
12018J. Stat. Mech., 12
-
ournal of Statistical Mechanics: J Theory and Experiment Enumerating tree-like polyphenyl isomers -
G. Luthe, James Jacobus, Larry Robertson (2008)
Receptor interactions by polybrominated diphenyl ethers versus polychlorinated biphenyls: a theoretical Structure-activity assessment.Environmental toxicology and pharmacology, 25 2
-
R. Merrifield, H. Simmons (1989)
Topological methods in chemistry -
H Bian (2009)
631MATCH Commun. Math. Comput. Chem., 61
-
I Gutman (1989)
26 -
I. Gutman, J. Kennedy, L. Quintas (1991)
Perfect matchings in random hexagonal chain graphsJournal of Mathematical Chemistry, 6
-
H. Hosoya (1971)
Topological Index. A Newly Proposed Quantity Characterizing the Topological Nature of Structural Isomers of Saturated HydrocarbonsBulletin of the Chemical Society of Japan, 44
-
H. Hosoya (2003)
The Topological Index Z Before and After 1971ChemInform, 34
-
Fragmentation formulas for the number of Kekulé structures , Hosoya and Merrifield - Simmons indices and related graph invariants -
I. Gutman (1977)
The Acyclic Polynomial Of A GraphPublications De L'institut Mathematique
-
M. Bureš, V. Pekárek, T. Ocelka (2008)
Thermochemical properties and relative stability of polychlorinated biphenyls.Environmental toxicology and pharmacology, 25 2
-
Weiling Yang, Fuji Zhang, 张福基 (2012)
Wiener Index in Random Polyphenyl Chains -
A. Chen, Fuji Zhang, 张福基 (2009)
Wiener Index and Perfect Matchings in Random Phenylene Chains -
I Gutman (1977)
The acyclic polynomial of a graphPubl. Inst. Math., 22
-
S. Tepavcevic, Amanda Wroble, M. Bissen, D. Wallace, Yongsoo Choi, L. Hanley (2005)
Photoemission studies of polythiophene and polyphenyl films produced via surface polymerization by ion-assisted deposition.The journal of physical chemistry. B, 109 15
-
S. Wagner, I. Gutman (2010)
Maxima and Minima of the Hosoya Index and the Merrifield-Simmons IndexActa Applicandae Mathematicae, 112
-
(2004)
Analysis of by-products from improved Ullmann reaction using TOFMS and GCTOFMS -
H. Bian, Fuji Zhang, 张福基 (2009)
Tree-like polyphenyl systems with extremal Wiener indices ∗
- Publisher
- Springer Journals
- Copyright
- Copyright © The Editorial Office of AMAS & Springer-Verlag GmbH Germany 2021
- ISSN
- 0168-9673
- eISSN
- 1618-3932
- DOI
- 10.1007/s10255-021-1026-8
- Publisher site
- See Article on Publisher Site
Abstract
The Hosoya index of a graph is the total number of matchings in it. And the Merrifleld-Simmons index is the total number of independent sets in it. They are typical examples of graph invariants used in mathematical chemistry for quantifying relevant details of molecular structure. In this paper, we obtain explicit analytical expressions for the expectations of the Hosoya index and the Merrifleld-Simmons index of a random polyphenyl chain.
Journal
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Aug 5, 2021
Keywords: Hosoya index; Merrifleld-Simmons index; random polyphenyl chain; 05C69; 05C70