Radio Quotient Square Sum Labeling of a Graph

1Swapna Raveendran and T.M. Selvarajan

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Abstract:

A radio quotient square sum labeling is a one to one mapping p from V (G) to N satisfying the condition d (u, v) + ⌈ [??(??)]?? +[??(??)]??(??(??)+ ??(??))⌉ ≥ 1 + dia (G) for all u, v ∈ V (G). The radio quotient square sum number of G, rqssn(G), is the maximum number assigned to any vertex of G. The radio quotient square sum number of G, rqssn (G) is the minimum value of rqssn ( p ) taken over all radio quotient square sum labeling p of G. In this paper we find the radio quotient square sum number of graphs with diameter three, gear graph, S(????,?? ) and (????ʘ ????????).

Keywords:

Radio Quotient Square Sum Labeling, Radio Quotient Square Sum Number, Gear Praph.

Paper Details
Month1
Year2020
Volume24
IssueIssue 1
Pages1939-1943