[PDF] Top 20 Degree Based Indices of Rhomtrees and Line Graph of Rhomtrees

... chemical graph theory, topological indices provide an important tool to quantify the molecular structure and it is found that there is a strong correlation between the properties of chemical compounds and ... See full document

... the degree of all the vertices in rhomtree is less than or equal to four the graphical structure of rhomtree is isomorphic to some molecular ...molecular graph does not depend on labeling or pictorial ... See full document

... molecular graph in the molecular graph theory or molecular topology is a simple graph which has neither loops nor multiple ...the graph theory. A graph = (, ) is a pair = () of nonempty ... See full document

... Topological indices are numerical invariants, associated with the topological characterization of a ...these indices relate to certain properties of the compound including the toxicological, ... See full document

... Zagreb indices of benzenoid graphs and concluded that their discriminativity is ...Zagreb indices, but for a whole class of vertex-degree-based topological ... See full document

... a graph in [9], [8] and [10], respectively and we extend this study for atom bond con- nectivity temperature ...on degree based topological indices and atom bond connectivity index, we now ... See full document

... Molecular descriptors play a significant role in the study of quantitative structure-property and structure-activity relationships of chemical as well as biological compounds. Among them, vertex-based topological ... See full document

... Topological indices are numerical quantities associated with different graph ...ular graph we mean a simple graph, representing the carbon- atom skeleton of an organic ...simple graph ... See full document

... topological indices, the degree- based topological indices are the most studied type of topological indices which play a prominent role in chemical graph ...oldest ... See full document

... chemical graph theory (too) many topological indices were introduced, in particular (too) many degree-based topological ...the degree-based indices and a report on a ... See full document

... the graph structure. The connectivity indices are used in the analysis of drug molecular structures in Chemical and Medical ...topological indices have been considered in Chemistry and have found ... See full document

... Zagreb indices have found an interesting use in the QSPR/QSAR modeling and are useful in the study of anti-inflammatory activ- ities of certain chemical ...of degree- based topological indices ... See full document

... tadpole graph has n+k vertices and n+k edges, among them n+k −2 vertices are of degree two, one vertex of degree three and one vertex of degree ...partition, based on the degrees of ... See full document

... topological indices have been investigated so ...topological indices are distance based or degree ...distance based topological indices and the Zagreb indices and Randić ... See full document

... There are many open problems related to ABC index in the mathematical chemistry literature. Interested reader can see the studies of the last two years in [1, 2, 7, 12, 23, 24]. Another recently conceived ... See full document

... topological indices such as Zagreb index, Harmonic index, atom-bond connectivity index are exploited to estimate the bioactivity of chemical ...many degree based topological indices, we ... See full document

... Topological indices are numerical quantities associated with a graph that are in- variant under graph ...topological indices is due to their applicability in quantitative structure–property ... See full document

... be the set of end vertices in . Then clearly ( ) = ∪ .Since every edge is a block in . Suppose deg( ) < deg( ) < deg( ) < . . . < deg( ) which are the cut vertices in . Then in Lb( ) has -blocks and each ... See full document

... a graph is the most time consuming part of computing of the preceding topological ...topological indices based on this algorithm in a reasonable ... See full document

... Evolution based algorithms such as accelerated particle swam optimization is used to reduce the dimen- sionality of big data by Fong et ...high degree dimensions and have found that the proposed method ... See full document