Basharat Rehman Ali
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View article: H-Coverings of Path-Amalgamated Ladders and Fans
H-Coverings of Path-Amalgamated Ladders and Fans Open
Let G be a connected, simple graph with finite vertices v and edges e . A family G 1 , G 2 , … , G p ⊂ G of subgraphs such that for all e ∈ E , e ∈ G l , for some l , l = 1,2 , … , p is an edge-c…
View article: Tree-Antimagicness of Web Graphs and Their Disjoint Union
Tree-Antimagicness of Web Graphs and Their Disjoint Union Open
In graph theory, the graph labeling is the assignment of labels (represented by integers) to edges and/or vertices of a graph. For a graph , with vertex set and edge set , a function from to a set of labels is called a vertex labeling of…
View article: Book graphs are cycle antimagic
Book graphs are cycle antimagic Open
Let \\(G=(V,E)\\) be a finite simple graph with \\(v =|V(G)|\\) vertices and \\(e=|E(G)|\\) edges. Further suppose that \\(\\mathbb{H}:=\\{H_1, H_2, \\dots, H_t\\}\\) is a family of subgraphs of \\(G\\). In case, each edge of \\(E(G)\\) be…
View article: Amalgamations and Cycle-Antimagicness
Amalgamations and Cycle-Antimagicness Open
A finite simple graph is called a --antimagic if satisfies the following properties: (i) has an -covering by the family of subgraphs where every , (ii) there exists a bijection such that the -weights constitute an arithmetic progressi…
View article: Super ( a , d ) - C_4 -antimagicness of book graphs
Super ( a , d ) - C_4 -antimagicness of book graphs Open
Let \\(G=(V,E)\\) be a~finite simple graph with \\(|V(G)|\\) vertices and \\(|E(G)|\\) edges. An edge-covering of \\(G\\) is a family of subgraphs \\(H_1, H_2, \\dots, H_t\\) such that each edge of \\(E(G)\\) belongs to at least one of the…
View article: Inequalities related to Symmetrized Harmonic Convex Functions
Inequalities related to Symmetrized Harmonic Convex Functions Open
In this paper, we extend the Hermite-Hadamard type $\dot{I}$scan inequality to the class of symmetrized harmonic convex functions. The corresponding version for harmonic h-convex functions is also investigated. Furthermore, we establish He…
View article: On new inequalities of Hermite-Hadamard type for functions whose fourth derivative absolute values are quasi-convex with applications
On new inequalities of Hermite-Hadamard type for functions whose fourth derivative absolute values are quasi-convex with applications Open
We establish some new inequalities of Hermite-Hadamard type for functions whose fourth derivatives absolute values are quasi-convex. Further, we give new identity.Using this new identity, we establish similar inequalities for left-hand sid…