Browsing JAEM 2021, Vol 11, Special Issue by Issue Date
Now showing items 1-20 of 28
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Connected majority domination vertex critical graphs
(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 ... -
Key distribution using graphs for secret sharing
(Işık University Press, 2021)Key distribution for secret sharing is the core important aspect of any secure cryptosystem, the threshold scheme enables a secret key to be shared among p members in which each member holds a part of the secret key. In ... -
On total vertex irregularity strength of some classes of tadpole chain graphs
(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 ... -
Diametral paths in extended transformation graphs
(Işık University Press, 2021)In a graph, diametral path is shortest path between two vertices which has length equal to diameter of the graph. Number of diametral paths plays an important role in computer science and civil engineering. In this paper, ... -
The minimum mean monopoly energy of a graph
(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 ... -
Total vertex irregularity strength of interval graphs
(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} ... -
Results on the inverse majority domination and majority independence number of a graph
(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 ... -
Triple connected eternal domination in graphs
(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)) ... -
Operations on totally weighted graphs
(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 ... -
Extension of m-polynomial and degree based topological indices for nanotube
(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 ... -
Neural network modeling of convection heat transfer coefficient for the casson nanofluid
(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 ... -
Geodetic domination integrity in graphs
(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 ... -
Both a graph and its complement are self-centered with identical radius
(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. -
Revan weighted PI index on some product of graphs
(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 ... -
Reciprocal version of product degree distance of cactus graphs
(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
(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 ... -
A hybrid combination of substitution and transposition ciphers for efficient encryption using graph labeling
(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 ... -
Balanced rank distribution labeling of ladder graphs, complete graphs and complete bipartite graphs
(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 ... -
Algorithmic complexity of isolate secure domination in graphs
(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 ... -
Vertex coloring edge weightings of some square graphs
(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 ? ...
