Jaem 2021, Vol 11, Special Issue
Recent Submissions

Extension of mpolynomial and degree based topological indices for nanotube
(Işık University Press, 2021)The Mpolynomial of a graph G(V (G), E(G)) is defined as M(G; u, v) = Σ i≤j mijuⁱvʲ, 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
(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
(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 selfcentered with identical radius
(Işık University Press, 2021)We show that a graph and its complement are selfcentered 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
(Işık University Press, 2021)A kedgeweighting w of a graph G is an assignment of integer weight, w(e) ∈ {1, 2, . . . , k}, to each edge e. A kedgeweighting 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
(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
(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 hyperstatus connectivity index of graphs
(Işık University Press, 2021)In this paper, we obtain the bounds for the hyperstatus connectivity indices of a connected graph and its complement in terms of other graph invariants. In addition, the hyperstatus connectivity indices of some composite ... 
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 ... 
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 ... 
Edgevertex domination and total edge domination in trees
(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 edgevertex dominating set of a graph G is a set D of edges of G such ... 
ICordial labeling of spider graphs
(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 Icordial labeling of a graph if there exists an injective map f from V to left perpendicularp/2..p/2right ... 
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 ... 
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 ... 
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 ... 
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 socalled 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
(Işık University Press, 2021)A total klabeling 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
(Işık University Press, 2021)In this article,the relationship between Inverse Majority Domination number γ −1 M (G) and Majority Independence number βM(G) of a graph G is discussed for some classes of graphs. In particular, γ −1 M (G) and βM(G) for ... 
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 φ : V ∪E → {1, 2, ..., k} ... 
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)) ...