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[PDF] Top 20 On the Harary index of graph operations

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On the Harary index of graph operations

On the Harary index of graph operations

... hyper-Wiener index of the join, Cartesian product, composition, disjunction and symmetric difference of ...of graph products can be seen in the classical book ... See full document

16

Three-center Harary index and its applications

Three-center Harary index and its applications

... The Harary index is constructed so as to take into account (in a rather rough manner) interactions between pairs of ...the Harary index, some more subtle interatomic interactions might be also ... See full document

8

Nordhaus-Gaddum type results for the Harary index of graphs

Nordhaus-Gaddum type results for the Harary index of graphs

... connected graph also equals the minimum size of a connected subgraph of G containing both and ...a graph, introduced by Chartrand et ...classical graph distance. For a graph ( , ) and a set ⊆ ... See full document

18

Applications of Graph Operations

Applications of Graph Operations

... that connects u and v. Suppose G is a graph with vertex and edge sets V = V(G) and E = E(G), respectively, and e = abE(G). The set of edges of G whose distance to the vertex u is smaller than the distance to the ... See full document

7

Bounds for the general sum connectivity index of composite graphs

Bounds for the general sum connectivity index of composite graphs

... sum-connectivity index of four types of graph operations involving ...sum-connectivity index of line graph L(X) and rooted product of ... See full document

12

On Powers of Some Graph Operations

On Powers of Some Graph Operations

... Wiener index and the Wiener polarity index of G4 H and G 5 H ...Wiener index [11] defined as the sum of distances between all vertex pairs in a connected ...polarity index [11] is defined to ... See full document

13

Sharp Upper Bounds for Multiplicative Degree Distance of Graph Operations

Sharp Upper Bounds for Multiplicative Degree Distance of Graph Operations

... topological index of a graph is a numerical quantity which is structural invariant, ...a graph. In this paper, we define and study a new topological index called multiplicative degree ... See full document

19

A Multiplicative Version of Forgotten Topological Index

A Multiplicative Version of Forgotten Topological Index

... topological index of several graph operations such as sum, Cartesian product, corona product, compo- sition, strong product, disjunction and symmetric difference in terms of the F −index and ... See full document

19

The multiplicative Zagreb indices of graph operations

The multiplicative Zagreb indices of graph operations

... a graph with a vertex set V (G) and an edge set E(G). For a graph G, the degree of a vertex v is the number of edges incident to v and is denoted by d G ...topological index Top(G) of a graph ... See full document

14

Ashwini Index of a ‎Graph

Ashwini Index of a ‎Graph

... [21] S. M. Hosamani, S. H. Malghan, I. N. Can- gul, The first geometric-arithmetic index of graph operations, Advances and Applications in Mathematical Sciences 14 (2015) 155-163. [22] S. M. ... See full document

8

Wiener Index of a Cycle in the Context of Some Graph Operations

Wiener Index of a Cycle in the Context of Some Graph Operations

... A graph G on n vertices is said to be hyperenergeticif E >2n − ...A graph G on n vertices is said to be hypoenergetic if E(G) < ...on graph energy assume special significance ... See full document

9

A N‎ote on Revised Szeged ‎Index of ‎Graph ‎Operations

A N‎ote on Revised Szeged ‎Index of ‎Graph ‎Operations

... The corona product = of graphs and with disjoint vertex sets and and edge sets and is as the graph obtained by taking one copy of and | | copies of and joining the i-th vertex of to every vertex in i-th copy of . ... See full document

7

The Hyper-Zagreb Index of Graph Operations

The Hyper-Zagreb Index of Graph Operations

... some graph operations under HyperZagreb ...HyperZagreb index of some well-known graphs are ...complete graph K n . Then the degree of any vertex in this graph is n  1 , thus ... See full document

8

Computing GA4 Index of Some Graph Operations

Computing GA4 Index of Some Graph Operations

... a graph means a collection of points and lines connecting a subset of ...a graph also called vertices and edges of the graph, ...connected graph is a graph such that there is a path ... See full document

10

On Varieties of Reverse Wiener Like Indices of a Graph

On Varieties of Reverse Wiener Like Indices of a Graph

... Wiener index, Reverse Detour Wiener index, Reverse Circular Wiener index Reverse Harary index, Reverse Detour Harary index, Reverse Circular Harary index, ... See full document

10

The Generalized Wiener Polarity Index of some Graph Operations

The Generalized Wiener Polarity Index of some Graph Operations

... connected graph. The generalized polarity Wiener index of G is defined as the number of unordered pairs of vertices of G whose distance is ...Wiener index of the Cartesian product and the tensor ... See full document

7

Erdös Conjecture on Connected Residual Graphs

Erdös Conjecture on Connected Residual Graphs

... A graph G is said to be F-residual if for every point u in G, the graph obtained by removing the closed neighborhood of u from G is isomorphic to ...a graph such that the deletion from G of the ... See full document

6

A Study on the Application of Operations Research in the Airline Industry

A Study on the Application of Operations Research in the Airline Industry

... of Operations Research in Aviation industry discusses some of the well-known problems and their respective solution approaches, review current research in the field and highlight emerging areas of future ...of ... See full document

14

Adjacent Edge Graceful Graphs

Adjacent Edge Graceful Graphs

... a graph with p = | V ( G ) | vertices and q = | E ( G ) | edges. Graph labeling, where the vertices and edges are assigned real values or subsets of a set are subject to certain ...of graph labeling ... See full document

11

On ‎c‎omputing the general Narumi-Katayama index of some ‎graphs

On ‎c‎omputing the general Narumi-Katayama index of some ‎graphs

... some properties of this topological index, but the main mathematical properties of N K index was reported by Klein and Rosenfeld [14]. This pa- per makes a new start on research about mathe- matical ... See full document

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