Mehdi Rezaei - Academia.edu (original) (raw)
Papers by Mehdi Rezaei
International journal of pure and applied mathematics, Aug 10, 2017
Among topological descriptors connectivity topological indices are very important and they have a... more Among topological descriptors connectivity topological indices are very important and they have a prominent role in chemistry. One of them is Sanskruti index defined as where Su is the summation of degrees of all neighbors of vertex u in G. In this paper we compute this topological index for V-phenylenic nanotube and nanotori.
International journal of pure and applied mathematics, Apr 1, 2017
In this paper we find the extremal values of the terminal Wiener index, Zagreb indices and Zagreb... more In this paper we find the extremal values of the terminal Wiener index, Zagreb indices and Zagreb coindices of Kragujevac trees. Further, we find the terminal Wiener index of line graphs of Kragujevac trees.
Iraqi journal of science, Dec 30, 2017
Mathematical Reports, Dec 31, 2022
![Research paper thumbnail of COMPUTING HYPER ZAGREB INDEX AND M-POLYNOMIALS OF TITANIA NANOTUBES TiO2[m,n]](https://attachments.academia-assets.com/116525476/thumbnails/1.jpg)
](Sigma Journal of Engineering and Natural Sciences, Dec 1, 2017
The concept of hyper Zagreb index, Zagreb and M-polynomials are establish in chemical graph theor... more The concept of hyper Zagreb index, Zagreb and M-polynomials are establish in chemical graph theory based on the degree of the vertex. It is reported that these indices are useful in the study of anti-inflammatory activities of certain chemical networks. In this paper, we determine hyper Zagreb index, Zagreb and Mpolynomials for an infinite class of Titania nanotubes ] , [ 2 n m TiO .
JOURNAL OF ADVANCES IN MATHEMATICS, 2019
Let G be a permutation group on a set with no fixed points in and let m be a positive integer. If... more Let G be a permutation group on a set with no fixed points in and let m be a positive integer. If for each subset of the size is bounded, for , we define the movement of g as the max over all subsets of . In this paper we classified all of permutation groups on set of size 3m + 1 with 2 orbits such that has movement m . 2000 AMS classification subjects: 20B25
International Journal of Pure and Apllied Mathematics, 2017
We introduce and study the graphs whose vertex set is reduced residue system mod n such that two ... more We introduce and study the graphs whose vertex set is reduced residue system mod n such that two distinct vertices a and b are adjacent provided that a 2 ≡ b 2 (mod n).
International Journal of Pure and Apllied Mathematics, 2016
Let G be a molecular graph. The length of a shortest path between two vertices of G is called dis... more Let G be a molecular graph. The length of a shortest path between two vertices of G is called distance. In a connected graph G, the eccentricity ǫv of vertex v is the distance between v and a vertex farthest from v in G. In this paper, we consider N A n m nanotube and compute the Fourth Geometric Arithmetic Index.
Let G be a finite group and let |Cent(G)| be the number of distinct centralizers of its elements.... more Let G be a finite group and let |Cent(G)| be the number of distinct centralizers of its elements. G is called n-centralizer if |Cent(G)| = n and is called primitive n-centralizer if |Cent(G)| = |Cent( G Z(G) )| = n. In this paper, we characterize all primitive 11-centralizer groups of odd order.
Let G be a finite group and Z(G) be the center of G. For a subset A of G, we define kG(A), ... more Let G be a finite group and Z(G) be the center of G. For a subset A of G, we define kG(A), the number of conjugacy classes of G that intersect A non-trivially. In this paper, we verify the structure of all finite groups G which satisfy the property kG(G-Z(G))=5, and classify them.
Bulletin of The Iranian Mathematical Society, 2017
In this paper we classify all finite solvable groups satisfying the following property P5: their ... more In this paper we classify all finite solvable groups satisfying the following property P5: their orders of representatives are set-wise relatively prime for any 5 distinct non-central conjugacy classes.
International Journal of Pure and Apllied Mathematics, Aug 10, 2017
Let G = (V, E) be a molecular graph, such that vertices represent atoms and edges are chemical bo... more Let G = (V, E) be a molecular graph, such that vertices represent atoms and edges are chemical bonds. The Sanskruti index of a graph G is a topological index was defined as S(G) = uv∈E(G) (SuSv Su+Sv−2) 3 where Su is the summation of degrees of all neighbors of vertex u in G. This connectivity indices is very important and they has a prominent role in chemistry. In this paper, we focus on the structure of Capra-designed planar benzenoid series Ca k (C6) (k ≥ 0) and compute on this above topological descriptor.
Iranian Journal of Science and Technology, Transactions A: Science, 2018
Let G be a finite group and Z(G) be the center of G. For a subset A of G, we define k G (A), the ... more Let G be a finite group and Z(G) be the center of G. For a subset A of G, we define k G (A), the number of conjugacy classes of G that intersect A non-trivially. In this paper, we verify the structure of all finite groups G which satisfy the property k G (G − Z(G)) = 5, and classify them.
Journal of Group Theory, 2019
In this paper, we classify all finite groups satisfying the following property: their conjugacy c... more In this paper, we classify all finite groups satisfying the following property: their conjugacy class lengths are set-wise relatively prime for any six distinct classes.
International Journal of Pure and Apllied Mathematics, 2017
The Wiener index of a simple connected graph is defined as the sum of all distances between disti... more The Wiener index of a simple connected graph is defined as the sum of all distances between distinct vertices of the graph G, and the terminal wiener index is the sum of all distances between distinct pendent vertices of the graph G. Polycyclic Aromatic Hydrocarbons are important hydrocarbons, which are organic compounds containing only carbon and hydrogen. In this paper, we reformulate the terminal Wiener index with the help of orthogonal cuts and compute the terminal Wiener index of Polycyclic Aromatic Hydrocarbons.
Energy Sources, Part A: Recovery, Utilization, and Environmental Effects, 2017
There is an increasing interest in the conversion of municipal solid waste (MSW) due to its low c... more There is an increasing interest in the conversion of municipal solid waste (MSW) due to its low cost and high potential for production of syngas and chemicals. Gasification is a promising thermochemical process to transform carbon-based fuels into a valuable fuel/syngas. In this article, an experimental study of air-gasification of municipal solid waste (MSW) using Ni-Cu/γ-Al 2 O 3 nano catalysts was developed. The particle sizes were ranged from 0.3 mm to 0.35 mm and loaded into the Micro-FB system at the beginning of each experiment. The influence of type of catalysts, gasification temperature and catalyst loading on tar concentration, hydrogen yield, and char conversion was evaluated. Results showed that with increasing the gasification temperature, the hydrogen yield gradually increases from 25 to 34 g/kg fuel at 600°C and 24 to 32 g/kg fuel at 800°C when using Ni/γ-Al 2 O 3 and Cu/γ-Al 2 O 3 catalysts, respectively. It also found that the use of metal catalyst during the gasification process is an influential parameter affecting the evolution profiles of gasification products, especially for hydrogen.
Journal of Computational and Theoretical Nanoscience, 2017
Chinese Annals of Mathematics, Series B, 2012
Let G be a permutation group on a set Ω with no fixed points in Ω, and m be a positive integer. T... more Let G be a permutation group on a set Ω with no fixed points in Ω, and m be a positive integer. Then the movement of G is defined as move(G):=sup Γ {|Γ g \ Γ| | g ∈ G}. It was shown by Praeger that if move(G) = m, then |Ω| 3m + t − 1, where t is the number of G-orbits on Ω. In this paper, all intransitive permutation groups with degree 3m + t − 1 which have maximum bound are classified. Indeed, a positive answer to her question that whether the upper bound |Ω| = 3m + t − 1 for |Ω| is sharp for every t > 1 is given.
International journal of pure and applied mathematics, Aug 10, 2017
Among topological descriptors connectivity topological indices are very important and they have a... more Among topological descriptors connectivity topological indices are very important and they have a prominent role in chemistry. One of them is Sanskruti index defined as where Su is the summation of degrees of all neighbors of vertex u in G. In this paper we compute this topological index for V-phenylenic nanotube and nanotori.
International journal of pure and applied mathematics, Apr 1, 2017
In this paper we find the extremal values of the terminal Wiener index, Zagreb indices and Zagreb... more In this paper we find the extremal values of the terminal Wiener index, Zagreb indices and Zagreb coindices of Kragujevac trees. Further, we find the terminal Wiener index of line graphs of Kragujevac trees.
Iraqi journal of science, Dec 30, 2017
Mathematical Reports, Dec 31, 2022
Sigma Journal of Engineering and Natural Sciences, Dec 1, 2017
The concept of hyper Zagreb index, Zagreb and M-polynomials are establish in chemical graph theor... more The concept of hyper Zagreb index, Zagreb and M-polynomials are establish in chemical graph theory based on the degree of the vertex. It is reported that these indices are useful in the study of anti-inflammatory activities of certain chemical networks. In this paper, we determine hyper Zagreb index, Zagreb and Mpolynomials for an infinite class of Titania nanotubes ] , [ 2 n m TiO .
JOURNAL OF ADVANCES IN MATHEMATICS, 2019
Let G be a permutation group on a set with no fixed points in and let m be a positive integer. If... more Let G be a permutation group on a set with no fixed points in and let m be a positive integer. If for each subset of the size is bounded, for , we define the movement of g as the max over all subsets of . In this paper we classified all of permutation groups on set of size 3m + 1 with 2 orbits such that has movement m . 2000 AMS classification subjects: 20B25
International Journal of Pure and Apllied Mathematics, 2017
We introduce and study the graphs whose vertex set is reduced residue system mod n such that two ... more We introduce and study the graphs whose vertex set is reduced residue system mod n such that two distinct vertices a and b are adjacent provided that a 2 ≡ b 2 (mod n).
International Journal of Pure and Apllied Mathematics, 2016
Let G be a molecular graph. The length of a shortest path between two vertices of G is called dis... more Let G be a molecular graph. The length of a shortest path between two vertices of G is called distance. In a connected graph G, the eccentricity ǫv of vertex v is the distance between v and a vertex farthest from v in G. In this paper, we consider N A n m nanotube and compute the Fourth Geometric Arithmetic Index.
Let G be a finite group and let |Cent(G)| be the number of distinct centralizers of its elements.... more Let G be a finite group and let |Cent(G)| be the number of distinct centralizers of its elements. G is called n-centralizer if |Cent(G)| = n and is called primitive n-centralizer if |Cent(G)| = |Cent( G Z(G) )| = n. In this paper, we characterize all primitive 11-centralizer groups of odd order.
Let G be a finite group and Z(G) be the center of G. For a subset A of G, we define kG(A), ... more Let G be a finite group and Z(G) be the center of G. For a subset A of G, we define kG(A), the number of conjugacy classes of G that intersect A non-trivially. In this paper, we verify the structure of all finite groups G which satisfy the property kG(G-Z(G))=5, and classify them.
Bulletin of The Iranian Mathematical Society, 2017
In this paper we classify all finite solvable groups satisfying the following property P5: their ... more In this paper we classify all finite solvable groups satisfying the following property P5: their orders of representatives are set-wise relatively prime for any 5 distinct non-central conjugacy classes.
International Journal of Pure and Apllied Mathematics, Aug 10, 2017
Let G = (V, E) be a molecular graph, such that vertices represent atoms and edges are chemical bo... more Let G = (V, E) be a molecular graph, such that vertices represent atoms and edges are chemical bonds. The Sanskruti index of a graph G is a topological index was defined as S(G) = uv∈E(G) (SuSv Su+Sv−2) 3 where Su is the summation of degrees of all neighbors of vertex u in G. This connectivity indices is very important and they has a prominent role in chemistry. In this paper, we focus on the structure of Capra-designed planar benzenoid series Ca k (C6) (k ≥ 0) and compute on this above topological descriptor.
Iranian Journal of Science and Technology, Transactions A: Science, 2018
Let G be a finite group and Z(G) be the center of G. For a subset A of G, we define k G (A), the ... more Let G be a finite group and Z(G) be the center of G. For a subset A of G, we define k G (A), the number of conjugacy classes of G that intersect A non-trivially. In this paper, we verify the structure of all finite groups G which satisfy the property k G (G − Z(G)) = 5, and classify them.
Journal of Group Theory, 2019
In this paper, we classify all finite groups satisfying the following property: their conjugacy c... more In this paper, we classify all finite groups satisfying the following property: their conjugacy class lengths are set-wise relatively prime for any six distinct classes.
International Journal of Pure and Apllied Mathematics, 2017
The Wiener index of a simple connected graph is defined as the sum of all distances between disti... more The Wiener index of a simple connected graph is defined as the sum of all distances between distinct vertices of the graph G, and the terminal wiener index is the sum of all distances between distinct pendent vertices of the graph G. Polycyclic Aromatic Hydrocarbons are important hydrocarbons, which are organic compounds containing only carbon and hydrogen. In this paper, we reformulate the terminal Wiener index with the help of orthogonal cuts and compute the terminal Wiener index of Polycyclic Aromatic Hydrocarbons.
Energy Sources, Part A: Recovery, Utilization, and Environmental Effects, 2017
There is an increasing interest in the conversion of municipal solid waste (MSW) due to its low c... more There is an increasing interest in the conversion of municipal solid waste (MSW) due to its low cost and high potential for production of syngas and chemicals. Gasification is a promising thermochemical process to transform carbon-based fuels into a valuable fuel/syngas. In this article, an experimental study of air-gasification of municipal solid waste (MSW) using Ni-Cu/γ-Al 2 O 3 nano catalysts was developed. The particle sizes were ranged from 0.3 mm to 0.35 mm and loaded into the Micro-FB system at the beginning of each experiment. The influence of type of catalysts, gasification temperature and catalyst loading on tar concentration, hydrogen yield, and char conversion was evaluated. Results showed that with increasing the gasification temperature, the hydrogen yield gradually increases from 25 to 34 g/kg fuel at 600°C and 24 to 32 g/kg fuel at 800°C when using Ni/γ-Al 2 O 3 and Cu/γ-Al 2 O 3 catalysts, respectively. It also found that the use of metal catalyst during the gasification process is an influential parameter affecting the evolution profiles of gasification products, especially for hydrogen.
Journal of Computational and Theoretical Nanoscience, 2017
Chinese Annals of Mathematics, Series B, 2012
Let G be a permutation group on a set Ω with no fixed points in Ω, and m be a positive integer. T... more Let G be a permutation group on a set Ω with no fixed points in Ω, and m be a positive integer. Then the movement of G is defined as move(G):=sup Γ {|Γ g \ Γ| | g ∈ G}. It was shown by Praeger that if move(G) = m, then |Ω| 3m + t − 1, where t is the number of G-orbits on Ω. In this paper, all intransitive permutation groups with degree 3m + t − 1 which have maximum bound are classified. Indeed, a positive answer to her question that whether the upper bound |Ω| = 3m + t − 1 for |Ω| is sharp for every t > 1 is given.