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MINUTES OF THE DEPARTMENTAL COMMITTEE MEETING (PHILOSOPHY AND THE LIFE-WORLD) HELD ON 22.02.2019
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3−Remainder Cordial Labeling of Cycle Related Graphs
Get PDFLet G be a (p, q) graph. Let f be a function from V (G) to the set {1, 2, . . . , k} where k is an integer 2 < k ≤ |V (G)|. For each edge uv assign the label r where r is the remainder when f(u) is divided by f(v) (or) f(v) is divided by f(u) according as f(u) ≥ f(v) or f(v) ≥ f(u). Then the function f is called a k-remainder cordial labeling of G if |vf (i) − vf (j)| ≤ 1, i, j ∈ {1, . . . , k} where vf (x) denote the number of vertices labeled with x and |ηe – ηo| ≤ 1 where ηe and ηo respectively denote the number of edges labeled with an even integers and number of edges labeled with an odd integers. A graph admits a k-remainder cordial labeling is called a k- remainder cordial graph. In this paper we investigate the 3- remainder cordial labeling behavior of the Web graph, Umbrella graph, Dragon graph, Butterfly graph, etc
On H-hyper Connected Spaces
Get PDFIn this paper, we define H-hyper connected spaces in generalized topological spaces with hereditary class H and we prove the characterizations of H-hyper connected spaces using open, rare and open sets. Also, we give the relation between hyper connected and H-hyper connected spaces
