Sign Pairity Difference Cordial Labeling of Digraphs. Issue 1 (June 2021)

• Record Type: Journal Article
• Authors: Palani, K.; Nivetha, S.; Nagarajan, A.
• Is Part Of: Journal of physics. Volume 1947:Issue 1(2021)
• Publication Date: 2021-06
• Subjects: Sign Pairity Difference Cordial Labeling; 05C78; Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/1947/1/012039
• Languages: English
• ISSNs: 1742-6588

Abstract

Abstract: Let D = ( V, A )be a digraph. An injective function f : V ( D ) → {1, 2, …. p } is said to be a sign pairity difference cordial labeling if the induced arc labeling f ∗ : A ( D ) → {0, 1} defined by f ∗ (( μ, ν )) = { 1 iff ( u ) − f ( v ) > 0 0 elsewhere satisfiesthe condition that | e f 0- e f (1)| ≤ 1 where, e f (0) is the number of arcs with label 0 and e f (1) is the number of arcs with label 1. In this paper, we analyze the existence of sign pairity difference cordial labeling in the digraphs Directed Path ( P n → ) ( A P n → ), Directed Cycle ( C n → ), Outstar ( o K 1, n → ), Inwheel ( i W n → ) and Downcomb ( Down P n ⊙ K 1 → ) defined by K.Palani et.al.