• Extension of m-polynomial and degree based topological indices for nanotube 

  Rajpoot, Abhay; Selvaganesh, Lavanya (Işık University Press, 2021)

  The M-polynomial of a graph G(V (G), E(G)) is defined as M(G; u, v) = ? i?j miju?v?, where mij denotes the number of edges xy ? E(G) such that {dx, dy} = {i, j}, where dx, dy denote degree of the vertex x and y in the graph ...

• Geodetic domination integrity in graphs 

  Balaraman, Ganesan; Kumar, Sanjay Sampath; Sundareswaran, Raman (Işık University Press, 2021)

  Reciprocal version of product degree distance of cactus graphs Let G be a simple graph. A subset S ? V (G) is a said to be a geodetic set if every vertex u /? S lies on a shortest path between two vertices from S. The ...

• Neural network modeling of convection heat transfer coefficient for the casson nanofluid 

  Shanmugapriya, M.; Sangeetha, P. (Işık University Press, 2021)

  This paper presents applications of Artificial Neural Network (ANN) to develop a mathematical model of magnetohydrodynamic (MHD) flow and heat transfer in a Casson nanofluid. The model equations are solved numerically by ...

• Both a graph and its complement are self-centered with identical radius 

  Malaravan, A. Chellaram; Baskar, A. Wilson (Işık University Press, 2021)

  We show that a graph and its complement are self-centered with identical radius r only when r = 2. Further, we provide a construction of such a graph for any given order at least eight.

• Vertex coloring edge weightings of some square graphs 

  Paramaguru, Nagarajan (Işık University Press, 2021)

  A k-edge-weighting w of a graph G is an assignment of integer weight, w(e) ? {1, 2, . . . , k}, to each edge e. A k-edge-weighting w induces a vertex coloring c by defining c(u) = P u?e w(e) for every u ? V (G), where u ? ...

• Algorithmic complexity of isolate secure domination in graphs 

  Kumar, Jakkepalli Pavan; Reddy, P. Venkata Subba (Işık University Press, 2021)

  A dominating set S is an Isolate Dominating Set (IDS) if the induced subgraph G[S] has at least one isolated vertex. In this paper, we initiate the study of new domination parameter called, isolate secure domination. An ...

• Reciprocal version of product degree distance of cactus graphs 

  Pattabiraman, Kandan; Bhat, Manzoor Ahmed (Işık University Press, 2021)

  The reciprocal version of product degree distance is a product degree weighted version of Harary index defined for a connected graph G as RDD*(G) = Sigma({x, y}subset of V(G) )(d(G)(x).d(G)(y))/d(G)(x,y), where d(G)(x) is ...

• Bounds on hyper-status connectivity index of graphs 

  Pattabiraman, Kandan; Santhakumar, A. (Işık University Press, 2021)

  In this paper, we obtain the bounds for the hyper-status connectivity indices of a connected graph and its complement in terms of other graph invariants. In addition, the hyper-status connectivity indices of some composite ...

• Revan weighted PI index on some product of graphs 

  Priyadharshini, Muthukumar; Kandan, P.; Chandrasekaran, E.; Kennedy, A. Joseph (Işık University Press, 2021)

  In chemical graph thoery, PI index is an additive topological index which has been used to measure the characteristics of chemical compounds. In this paper we introduce the weighted version of PI index of graph called the ...

• Balanced rank distribution labeling of ladder graphs, complete graphs and complete bipartite graphs 

  Hemalatha, Palanisamy; Gokilamani, S. (Işık University Press, 2021)

  A balanced rank distribution labeling of a graph G of order n is a new kind of vertex labeling from {1, 2, 3, ..., k}(n <= k is an element of Z(+)) which leads to a balanced edge labeling of G called edge ranks. In this ...

• Edge-vertex domination and total edge domination in trees 

  Kumar, H. Naresh; Venkatakrishnan, Yanamandram (Işık University Press, 2021)

  An edge e is an element of E(G) dominates a vertex v is an element of V (G) if e is incident with v or e is incident with a vertex adjacent to v. An edge-vertex dominating set of a graph G is a set D of edges of G such ...

• I-Cordial labeling of spider graphs 

  Sankaran, Sriram; Kaliyaperumal, Thirusangu (Işık University Press, 2021)

  Let G= (V, E) be a graph with p vertices and q edges. A graph G=(V,E)with p vertices and q edges is said to be an I-cordial labeling of a graph if there exists an injective map f from V to left perpendicular-p/2..p/2right ...

• A hybrid combination of substitution and transposition ciphers for efficient encryption using graph labeling 

  Shruthy, V. N. Jaya; Veerasamy, Maheswari (Işık University Press, 2021)

  In this study, we conceptualise a hybrid approach of plaintext encryption by making use of Substitution and Transposition cipher technique namely Playfair Cipher and Simple Columnar Transposition. Both the Ciphers are ...

• Operations on totally weighted graphs 

  Jicy, N. (Işık University Press, 2021)

  The investigation and study of different operations on graphs leads many interesting results in various branches of science and technology. The operations of union, join, corona, Cartesian product and strong product in ...

• Connected majority domination vertex critical graphs 

  Manora, J. Joseline; Vairavel, T. Muthukani (Işık University Press, 2021)

  In this article, how the removal of a single vertex from a graph G can change the Connected Majority Domination number is surveyed for any graph G. A graph is Connected Domination Critical if the removal of any vertex ...

• The minimum mean monopoly energy of a graph 

  Rao, M. V. Chakradhara; Venkatesh, K. A.; Lakshmi Dasari, Venkata (Işık University Press, 2021)

  The motivation for the study of the graph energy comes from chemistry, where the research on the so-called total pi - electron energy can be traced back until the 1930s. This graph invariant is very closely connected to a ...

• On total vertex irregularity strength of some classes of tadpole chain graphs 

  Rosyida, Isnaini; Indriati, Diari (Işık University Press, 2021)

  A total k-labeling f that assigns V boolean OR E into {1,2, ...,k} on graph G is named vertex irregular if wt(f)(u) not equal wt(f)(v) for dissimilar vertices u, v in G with the weights wt(f) (u) = f(u) Sigma(ux is an ...

• Results on the inverse majority domination and majority independence number of a graph 

  Manora, J. Joseline; Vignesh, S. (Işık University Press, 2021)

  In this article,the relationship between Inverse Majority Domination number ? ?1 M (G) and Majority Independence number ?M(G) of a graph G is discussed for some classes of graphs. In particular, ? ?1 M (G) and ?M(G) for ...

• Total vertex irregularity strength of interval graphs 

  Rana, Akul (Işık University Press, 2021)

  A labeling of a graph is a mapping that maps some set of graph elements to a set of numbers (usually positive integers). For a simple graph G = (V, E) with vertex set V and edge set E, a labeling ? : V ?E ? {1, 2, ..., k} ...

• Triple connected eternal domination in graphs 

  Mahadevan, Gopal; Ponnuchamy, T.; Avadayappan, Selvam (Işık University Press, 2021)

  The concept of Triple connected domination number was introduced by G. Mahadevan et. al., in [10]. The concept of eternal domination in graphs was introduced by W. Goddard., et. al., in [3]. The dominating set S0(? V (G)) ...

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