2020-08-07T13:50:36Z
https://ijmc.kashanu.ac.ir/?_action=export&rf=summon&issue=5285
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2017
8
3
Autobiographical notes
N.
Trinajstić
I was born in Zagreb (Croatia) on October 26, 1936. My parents were Regina (née Pavić) (April17, 1916, Zagreb–March 9, 1992, Zagreb) and Cvjetko Trinajstić (September 9, 1913, Volosko–October 29, 1998, Richmond, Australia).
Chemical graph theory
mathematical chemistry
Nanad Trinajstic
2017
09
01
231
257
https://ijmc.kashanu.ac.ir/article_45087_fe31c60ddad05b1f35c8ccaeb75be409.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2017
8
3
Graphs with smallest forgotten index
I.
Gutman
A.
Ghalavand
T.
Dehghan-Zadeh
A.
Ashrafi
The forgotten topological index of a molecular graph $G$ is<br /> defined as $F(G)=sum_{vin V(G)}d^{3}(v)$, where $d(u)$ denotes<br /> the degree of vertex $u$ in $G$. The first through the sixth smallest<br /> forgotten indices among all trees, the first through<br /> the third smallest forgotten indices among all connected<br /> graph with cyclomatic number $gamma=1,2$, the first through<br /> the fourth for $gamma=3$, and the first and the second for<br /> $gamma=4,5$ are determined. These results are compared<br /> with those obtained for the first Zagreb index.
Forgotten topological index
Unicyclic graphs
Bicyclic graphs
Tricyclic graphs
Tetracyclic graphs
Pentacyclic graphs
2017
09
01
259
273
https://ijmc.kashanu.ac.ir/article_43258_60932aad8f9b423afed9a875153fe9a1.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2017
8
3
On the first variable Zagreb index
K.
Moradian
R.
Kazemi
M.
Behzadi
The first variable Zagreb index of graph $G$ is defined as<br /> begin{eqnarray*}<br /> M_{1,lambda}(G)=sum_{vin V(G)}d(v)^{2lambda},<br /> end{eqnarray*}<br /> where $lambda$ is a real number and $d(v)$ is the degree of<br /> vertex $v$.<br /> In this paper, some upper and lower bounds for the distribution function and expected value of this index in random increasing trees (recursive trees,<br /> plane-oriented recursive trees and binary increasing trees) are<br /> given.
First variable Zagreb index
Random increasing trees
Distribution function
Expected value
2017
09
01
275
283
https://ijmc.kashanu.ac.ir/article_45113_752ad28b4b442dc6a1f6961c8509c82a.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2017
8
3
Computing the additive degree-Kirchhoff index with the Laplacian matrix
J.
Palacios
For any simple connected undirected graph, it is well known that the Kirchhoff and multiplicative degree-Kirchhoff indices can be computed using the Laplacian matrix. We show that the same is true for the additive degree-Kirchhoff index and give a compact Matlab program that computes all three Kirchhoffian indices with the Laplacian matrix as the only input.
Degree-Kirchhoff index
Laplacian matrix
2017
09
01
285
290
https://ijmc.kashanu.ac.ir/article_48532_4ea24f618de4aee3f2e5feaf2ad0c8ca.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2017
8
3
On the spectra of reduced distance matrix of the generalized Bethe trees
A.
Heydari
Let G be a simple connected graph and {v_1,v_2,..., v_k} be the set of pendent (vertices of degree one) vertices of G. The reduced distance matrix of G is a square matrix whose (i,j)-entry is the topological distance between v_i and v_j of G. In this paper, we compute the spectrum of the reduced distance matrix of the generalized Bethe trees.
Reduced distance matrix
Generalized Bethe Tree
spectrum
2017
09
01
291
298
https://ijmc.kashanu.ac.ir/article_48533_625a9813ec4456891441f9eb3d1369f5.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2017
8
3
On the second order first zagreb index
B
Basavanagoud
S.
Patil
H. Y.
Deng
Inspired by the chemical applications of higher-order connectivity index (or<br /> Randic index), we consider here the higher-order first Zagreb index of a molecular graph.<br /> In this paper, we study the linear regression analysis of the second order first Zagreb<br /> index with the entropy and acentric factor of an octane isomers. The linear model, based<br /> on the second order first Zagreb index, is better than models corresponding to the first<br /> Zagreb index and F-index. Further, we compute the second order first Zagreb index of<br /> line graphs of subdivision graphs of 2D-lattice, nanotube and nanotorus of TUC4C8[p; q],<br /> tadpole graphs, wheel graphs and ladder graphs.
topological index
line graph
subdivision graph
Nanostructure
tadpole graph
2017
09
01
299
311
https://ijmc.kashanu.ac.ir/article_49784_8354f7dae388f810624e8396d0fc4b3a.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2017
8
3
Anti-forcing number of some specific graphs
S.
Alikhani
N.
Soltani
Let $G=(V,E)$ be a simple connected graph. A perfect matching (or Kekul'e structure in chemical literature) of $G$ is a set of disjoint edges which covers all vertices of $G$. The anti-forcing number of $G$ is the smallest number of edges such that the remaining graph obtained by deleting these edges has a unique perfect matching and is denoted by $af(G)$. In this paper we consider some specific graphs that are of importance in chemistry and study <br /> their anti-forcing numbers.
Anti-forcing number
Anti-forcing set
Corona product
2017
09
01
313
325
https://ijmc.kashanu.ac.ir/article_49785_5762b32f4d73311e1b30d195fe19f9ba.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2017
8
3
On the forgotten topological index
A.
Khaksari
M.
Ghorbani
The forgotten topological index is defined as sum of third power of degrees. In this paper, we compute some properties of forgotten index and then we determine it for some classes of product graphs.
Zagreb indices
forgotten index
Graph products
2017
09
01
327
338
https://ijmc.kashanu.ac.ir/article_43481_e5cf8939aefd37aece3fc2f3f7bd8375.pdf