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Investigation on splice graphs by exploting certain topological indices
V. Lokesha,M. MANJUNATH,K. Z. Yasmeen 장전수학회 2020 Proceedings of the Jangjeon mathematical society Vol.23 No.2
Let G1 and G2 be simple connected graphs with disjoint vertex sets V (G1) and V (G2) respectively. For given vertices a1 2 V (G1) and a2 2 V (G2) a splice of G1 and G2 by vertices a1 and a2 defined by identifying the vertices a1 and a2 in the union of G1 and G2. In this article the explicit interpretation of ISI;EM1;ABC and SK1 index in terms of the graph size and maximum or minimum vertex degrees of special splice graphs are obtained.
Topological coindices of phytochemicals examined for Covid-19 therapy
V. Lokesha,A. S. Maragadam,SUVARNA,ISMAIL NACI CANGUL 장전수학회 2023 Proceedings of the Jangjeon mathematical society Vol.26 No.4
Topological coindices of phytochemicals examined for Covid-19 therapy
VL RECIPROCAL STATUS INDEX AND COINDEX OF CONNECTED GRAPHS
V. Lokesha,S. Suvarna,Shanthakumari Y 장전수학회 2022 Proceedings of the Jangjeon mathematical society Vol.25 No.3
The reciprocal status of a vertex u in a connected graph G, is defined as the sum of reciprocal of the distances between u and all other vertices of a graph G. Relation between VL reciprocal status index and VL reciprocal status coindices are established. Also these indices are computed for VL reciprocal status transmission regular graphs. Further the VL reciprocal status index and coindex of some standard graphs are obtained.
Operations on Dutch windmill graph of topological indices
V.Lokesha,Sushmitha Jain,T. Deepika,A. Sinan Cevik 장전수학회 2018 Proceedings of the Jangjeon mathematical society Vol.21 No.3
Topological indices are well studied in recent years. These are useful tools in studying Quantitative Structure Activity Relationship (QSAR) and Quantitative Structure Property Relationship (QSPR). The main goal of this paper is to concentrate the investigation on generalized version of Dutch windmill graph of certain graph operators in terms of topological indices, for instance, symmetric division deg index, rst and second Zagreb indices.
V. Lokesha,Naveen Kumar B.,K. M. Nagaraja,M. Saraj,Abdelmejid Bayad 장전수학회 2010 Proceedings of the Jangjeon mathematical society Vol.13 No.2
The object of this paper is to introduce three new means on the basis of proportions and its dual forms, study certain properties, monotonicities and new inequalities involving them. Further, we dened weighted three new means and its dual form, its properties are stated and deduced the ten Neo-Pythagorean means, weighted rth Oscillatory mean, weighted rth Oscillatory mean, also some familiar means and various other means.
VL Status Index and Co-index of Connected Graphs
V. Lokesha,S. Suvarna,A. Sinan Cevik 장전수학회 2021 Proceedings of the Jangjeon mathematical society Vol.24 No.3
The status σG(u) of a vertex u in a connected graph G is defined as the sum of the distances between u and all other vertices of G. In this paper some relations over VL status index and VL status co-index of connected graphs are established. Furthermore distinguished examples for k-transmission regular graphs and nanostructures of VL status indices are computed.
Topological Indices on Model Graph Structure of Alveoli in Human Lungs
V. Lokesha,A. Usha,P. S. Ranjini,K. M. Devendraiah 장전수학회 2015 Proceedings of the Jangjeon mathematical society Vol.18 No.4
Alveoli are hollow cavitites within the human body. In the present study, alveoli of human lungs are considered which are healthy and also when aected by emphysema loss of elasticity resulting in breathing diculties. It is interesting to apply graph theory with a view to test and predict the status of alveoli in both healthy lungs and when aected. The model developed can be used for further advancement in the medical eld for any diagnosis with respect to the lung diseases. The purpose of this paper is to investigation of Alveoli in Human lungs using concept of Topological indices. Here we have attempted to use double graphs by considering the alveoli as a connected graph. Topological indices are determined for healthy and ruptured alveoli by using graph operator called double graphs. PI and Szeged indices have been found for a healthy alveoli as was modelled earlier. Four graph operators namely S(G) , R(G) , Q(G) and L(G) are obtained and their respective PI and Szeged indices are studied. Finally, a comparative study is made for all the operators with respect to the aected alveoli in order to better facilitate the modeling to help detect the defects early.
The weighted Heron dual mean in variables
V. Lokesha,Zh.-H. Zhang 장전수학회 2006 Advanced Studies in Contemporary Mathematics Vol.13 No.2
In this paper, the definition of the weighted Heron dual mean in n variables is given, its monotonicity is proved, and an identity relating to it is obtained.
Skew-Zagreb energy of directed graphs
V. Lokesha,Y. Shanthakumari,P. S. K. Reddy 장전수학회 2020 Proceedings of the Jangjeon mathematical society Vol.23 No.4
In molecular graph, vertex symbolizes atom and edge rep- resents bond and degree of a vertex closely related to valence in chem- istry. In the year 2010, Adiga et al. were introduced the skew energy for digraphs. Using this new combinatorial technique for digraphs, we introduced and analyzed the skew first Zagreb energy (SFZE) and skew second Zagreb energy (SSZE) of some digraphs.
COMPUTATION OF ADRIATIC INDICES OF CERTAIN OPERATORS OF REGULAR AND COMPLETE BIPARTITE GRAPHS
V. Lokesha,M. MANJUNATH,B. Chaluvaraju,K. M. Devendraiah,I. N. Cangul,A. S. CEVIK 장전수학회 2018 Advanced Studies in Contemporary Mathematics Vol.28 No.2
A topological index of a graph G is a numerical parameter related to G which characterizes its molecular topology and used for quantitative structure-activity relationship (QSAR) and quantitative structure-property relationship (QSPR). Adriatic indices are bond-additive topological indices. They are analyzed on the testing sets provided by the Inernational Academy of Mathematical Chemistry (IAMC) and it has been shown that they have good predictive properties in many cases. In this paper, we study the certain adriatic indices of regular and complete bipartite graphs using some graph operators.