A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is `application/pdf`

.

## Filters

##
###
The M-polynomials and topological indices of toroidal polyhex network

2017
*
International Journal of Mathematical Analysis
*

A topological index

doi:10.12988/ijma.2017.7119
fatcat:hue73rxh45eezhvqf63ivcxg24
*of**graph*G is 1,2 Corresponding authors 306 Muhammad Ajmal et al. a numerical parameter related*to*G which*characterizes*its molecular topology. ... The M -polynomial*of*different molecular structures helps us*to*calculate many topological indices. ... The concept*of*degree is somewhat closely related*to*the concept*of*valence in*chemistry*. For details on bases*of**graph*theory, any standard text such*as*[29] can be*of*great help. ...##
###
Some Algebraic Polynomials and Topological Indices of Generalized Prism and Toroidal Polyhex Networks

2016
*
Symmetry
*

A topological index

doi:10.3390/sym9010005
fatcat:dmovi5ekejdglkrgi3tofaaqge
*of**graph*G is a numerical parameter related*to*G, which*characterizes*its topology and is preserved under isomorphism*of**graphs*. ... In this report, we compute closed forms*of*first Zagreb, second Zagreb, and forgotten polynomials*of*generalized prism and toroidal*polyhex*networks. ... Conflicts*of*Interest: The authors declare no conflict*of*interest. ...##
###
Face-width of Pfaffian Braces and Polyhex Graphs on Surfaces
[article]

2013
*
arXiv
*
pre-print

The number

arXiv:0908.1506v2
fatcat:lcz7347qnra45bhgu5wwjq6f4e
*of*perfect matchings*of*Pfaffian*graphs*can be computed in polynomial time. In this paper, by*applying*the*characterization**of*Pfaffian braces due*to*Robertson, Seymour and Thomas [Ann. ... Combining with*polyhex**graphs*with face-width 2, we show that a bipartite*polyhex**graph*is Pfaffian if and only if it is isomorphic*to*the cube, the Heawood*graph*or C_k× K_2 for even integers k> 6, and ...*Polyhex**graphs*are also considered*as*an extension*of*fullerene*graphs*on other surfaces [3] , which have extensively applications in*chemistry*and material science [9, 10] . ...##
###
k-resonance in Toroidal Polyhexes*

2005
*
Journal of Mathematical Chemistry
*

*Characterizations*for 1, 2 and 3-resonant toroidal

*polyhexes*are given respectively in this paper. ... This paper considers the k-resonance

*of*a toroidal

*polyhex*(or toroidal graphitoid) with a string (p, q, t)

*of*three integers (p ≥ 2, q ≥ 2, 0 ≤ t ≤ p − 1). ... There have been a few work in the enumeration

*of*perfect matchings

*of*toroidal

*polyhexes*by

*applying*various techniques, such

*as*transfer-matrix [12, 21] , permanent

*of*the adjacency matrix [1] , and ...

##
###
On some counting polynomials in chemistry

1988
*
Discrete Applied Mathematics
*

Note that for such kj with no proper sextet, such

doi:10.1016/0166-218x(88)90017-0
fatcat:gkh7ezvkbzh4harc6bnkkpkacm
*as*k, in Fig. 12 Now try*to**apply*the sextet rotation*to*the set*of*the Kekult patterns for the*graph*in Fig. 12 . ... In*chemistry*we often need*to*know the electronic structure*of*a molecule so*as**to*interpret the ultraviolet and visible absorption spectra*of*the molecule,*to*understand the reactivity and various related ...##
###
Allowed Boundary Sequences for Fused Polycyclic Patches and Related Algorithmic Problems

2001
*
Journal of chemical information and computer sciences
*

Hexagonal and pentagonal sequences

doi:10.1021/ci000060o
pmid:11277715
fatcat:xgd2clcfpzdajkyrunn3emv3oq
*of*length at most 8 are tabulated, the former corresponding*to*planar benzenoid hydrocarbons C x H y with y up*to*14. ... We consider sequences that encode boundary circuits*of*fused polycycles made up*of*polygonal faces with p sides, p e 6. ... ACKNOWLEDGMENT We thank the University*of*Exeter Research Committee and the European Union Framework IV program (TMR Network Contract FMRX CT97 0192 BIOFULLERENES) for financial support*of*this research ...##
###
A computer-based method to determine predictive potential of distance-spectral descriptors for measuring the π-electronic energy of benzenoid hydrocarbons with applications

2021
*
IEEE Access
*

INDEX TERMS

doi:10.1109/access.2021.3053270
fatcat:cglmtmjw4jalrpt54ahfw67b3i
*Graph*signal processing, quantum*chemistry*, chemical*graph*theory, eigenvalues-based topological descriptors, π-electronic energy, Benzenoid hydrocarbons, carbon nanotubes, carbon nanocones ... Applications*of*our computational method*to*certain infinite families*of*carbon nanotubes and carbon nanocones are presented. ... ACKNOWLEDGMENT The authors would like*to*thank their sincere gratitude*to*the reviewers for their helpful comments which have played a vital role in improving the quality and presentation*of*the original ...##
###
Preface

2009
*
European journal of combinatorics (Print)
*

Then they

doi:10.1016/j.ejc.2008.09.013
fatcat:5mv54y53afeono2cw24yd2lzay
*apply*this concept*to*the convexity spaces coming from bipartite*graphs*. ... In organic*chemistry*, where the structure*of*a molecule can be represented by a connected*graph*, this point*of*view led*to*the development*of*a number*of*numerical invariants (or indices) which correlate ...##
###
COMPUTING ZAGREB INDICES AND ZAGREB POLYNOMIALS OF FULLERENE, BUTTERFLY AND BENES NETWORKS

2020
*
International Journal of Applied Mathematics
*

A topological index is a numerical parameter

doi:10.12732/ijam.v32i6.1
fatcat:fvdeyopx3jdqxiq4jib7zoufn4
*of*a*graph*which*characterizes*some*of*the topological properties*of*the*graph*. ... The concepts*of*hyper-Zagreb index, first multiple Zagreb index, second multiple Zagreb index and relatedly the Zagreb polynomials were established in chemical*graph*theory by means*of*the vertex degrees ...*of*the Excellent Young Talents Support*of*Higher Education in Anhui Province (gxyq2018116); the Natural Science Foundation*of*Bozhou University (BYZ2018B03). ...##
###
Graph theoretical invariants and elementary subgraphs of polyhex and polypent/polyhex systems of chemical relevance

1996
*
Discrete Applied Mathematics
*

algorithms that are highly useful for understanding and studying the structural properties

doi:10.1016/0166-218x(95)00012-g
fatcat:k7bknejbdjffrcl55vcj3kbv3q
*of*the classes*of*molecules that are isomorphic*to*the*polyhex*and polypent/*polyhex**graphs*. ... + n = 2, a myriad*of*invariants have evolved for describing the properties*of*molecular*graphs*(*graphs*representing molecules). ... The a-bond skeleton*of*a benzenoid (PAH6) is isomorphic*to*a*polyhex*, and herein*polyhex**graphs*will be used*to*represent molecular*graphs**of*benzenoids [8] . ...##
###
Page 4661 of Mathematical Reviews Vol. , Issue 91H
[page]

1991
*
Mathematical Reviews
*

Summary: “An expanded form

*of*the Wiener number is suggested for*characterization**of*molecular*graphs*and structure-property correlations. ... The authors attempt*to*place these formal models in the more general theoretical context*of*sociological action theory*as*devel- oped by T. ...##
###
Page 5244 of Mathematical Reviews Vol. , Issue 93i
[page]

1993
*
Mathematical Reviews
*

Summary: “The correspondence between a

*graph*and a geneal- ogy is used*to**apply*techniques from the field*of**graph*theory*to*genetic epidemiology. ... The theorems proved for these structures are*applied**to*introduce an axiomatic*characterization*for Choquet expected utility and Quiggin’s anticipated utility. ...##
###
On Computation of Face Index of Certain Nanotubes

2020
*
Discrete Dynamics in Nature and Society
*

Topological index is a number that can be used

doi:10.1155/2020/3468426
fatcat:hq7wxqrxbfcndhd4aqzevuouy4
*to**characterize*the*graph**of*a molecule. Topological indices describe the physical, chemical, and biological properties*of*a chemical structure. ... In this paper, we derive the analytical closed formulas*of*face index*of*some planar molecular structures such*as*TUC4, TUC4C8S, TUHC6, TUC4C8R, and armchair TUVC6. ... A topological index (TI) is an invariant that is assigned*to*a molecular structure (*graph*) and is used*to**characterize*the molecule. ...##
###
Page 2973 of Mathematical Reviews Vol. , Issue 81H
[page]

1981
*
Mathematical Reviews
*

They also utilize the spectrum

*of*a*graph*, and a*polyhex*representation*of*a geographic region*as*models. ... Cliff, Haggett and Ord properly view Euler’s negative solution*of*the K6nigsberg~bridge problem*as*the historically first*appli*- cation*of**graph*theory*to*geography. ...##
###
Multiplicative Reverse Geometric-Arithmetic Indices and Arithmetic-Geometric of Silicate Network

2021
*
Biointerface Research in Applied Chemistry
*

In mathematical

doi:10.33263/briac123.41924199
fatcat:apoj6fxuc5g47bnl4upjadwba4
*chemistry*, geometric-arithmetic and arithmetic-geometric indices are helpful from both theoretical and practical points*of*view. ... Acknowledgments The author would like*to*thank Dr.B.J.Gireesha, Department*of*mathematics, Kuvempu University, who motivated and inspired me*to*research. Further, I would like*to*thank Dr. N. ... Narahari, Department*of*mathematics, Tumkur university, for many useful suggestions. ...
« Previous

*Showing results 1 — 15 out of 51 results*