Journal of Mathematical NanoscienceJournal of Mathematical Nanoscience
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Feed provided by Journal of Mathematical Nanoscience. Click to visit.On borderenergetic and L-borderenergetic graphs
http://jmathnano.srttu.edu/article_513_118.html
A graph G of order n is said to be borderenergetic if its energy is equal to 2n − 2. In this paper, we study the borderenergetic and Laplacian borderenergetic graphs.Thu, 30 Nov 2017 20:30:00 +0100Energy of graphs
http://jmathnano.srttu.edu/article_706_0.html
Let G = (V, E) be a simple graph of order n with m edges. The energy of a graph G, denoted by E(G), is defined as the sum of the absolute values of all eigenvalues of G. Gutman introduced this definition of the energy of a simple graph in his paper “The energy of a graph”. In the past decade, interest in graph energy has increased and many different versions have been introduced.Thu, 31 May 2018 19:30:00 +0100On the modified Wiener number
http://jmathnano.srttu.edu/article_512_118.html
The Graovac-Pisanski index is defined in 1991 namely 56 years after the definition of Wiener index by Graovac and Pisanski. They called it as modified Wiener index based on the sum of distances between all the pairs α(u,α(u)) where α stands in the automorphism group of given graph. In this paper, we compute the Graovac-Pisanski index of some classes of graphs.Thu, 30 Nov 2017 20:30:00 +0100Study of inverse sum indeg index
http://jmathnano.srttu.edu/article_720_0.html
Let MG(i,n) denote to the class of all n-vertex molecular graphs with minimum degree i, where 1≤ i ≤3. The inverse sum indeg index of a graph is defined as ΣuvεV dudv/(du+dv), where du denotes to the degree of vertex u. In this paper, we propose some extremal molecular graphs with the minimum and the maximum value of inverse sum indeg index in MG(i,n).Thu, 31 May 2018 19:30:00 +0100Sanskruti Index of Bridge Graph and Some Nanocones
http://jmathnano.srttu.edu/article_707_118.html
Sanskruti index is the important topological index used to test the chemical properties of chemical comopounds. In this paper, first we obtain the formulae for calculating the Sanskruti index of bridge graph and carbon nanocones CNCn(k). In addition, Sanskruti index of the Line graph of CNCk[n] nanocones are obtained.Thu, 30 Nov 2017 20:30:00 +0100Edge Version of Some Degree Based Topological Descriptors of Graphs
http://jmathnano.srttu.edu/article_721_0.html
In this paper, we study the edge version of some degree based topological indices such as general sumconnectivity index, Randic index, inverse sum indeg index, symmetric division deg index, augmenting Zagreb index and harmonic polynomial for joint graphs and certain graph operations.Thu, 31 May 2018 19:30:00 +0100The Wiener and Szeged indices of hexagonal cored dendrimers
http://jmathnano.srttu.edu/article_741_118.html
A topological index of a molecule graph G is a real number which is invariant under graph isomorphism. The Wiener and Szeged indices are two important distance based topological indices applicable in nanoscience. In this paper, these topological indices is computed for hexagonal cored dendrimers.Thu, 30 Nov 2017 20:30:00 +0100Some properties of fullerenes
http://jmathnano.srttu.edu/article_748_118.html
graph entropy, fullerene, Hosoya polynomialThu, 30 Nov 2017 20:30:00 +0100A note on the entropy of graphs
http://jmathnano.srttu.edu/article_749_118.html
A useful tool for investigation various problems in mathematical chemistry and computational physics is graph entropy. In this paper, we introduce a new version of graph entropy and then we determine it for some classes of graphs.Thu, 30 Nov 2017 20:30:00 +0100