<abstract xmlns="http://www.w3.org/1999/xhtml">

E-super arithmetic graceful labelling of a graph G is a bijection f from the union of the vertex set and edge set to the set of positive integers (1, 2, 3, … |V(G) ∪ E(G)|) such that the edges have the labels from the set {1, 2, 3, …, |E(G)|} and the induced mapping f* given by f* (uv) = f(u) + f(v) − f(uv) for uv ∈ E(G) has the range {|V(G) ∪ E(G)| + 1, |V(G) ∪ E(G)| + 2, …, |V(G)| + 2|E(G)|}
In this paper we prove that Hi(m, m) and Hi(1) (m, m) and chain of even cycles C4,n, C6,n are E-super arithmetic graceful.
</abstract>

E-super arithmetic graceful labelling of a graph G is a bijection f from the union of the vertex set and edge set to the set of positive integers (1, 2, 3, … |V(G) ∪ E(G)|) such that the edges have the labels from the set {1, 2, 3, …, |E(G)|} and the induced mapping f* given by f* (uv) = f(u) + f(v) − f(uv) for uv ∈ E(G) has the range {|V(G) ∪ E(G)| + 1, |V(G) ∪ E(G)| + 2, …, |V(G)| + 2|E(G)|}
In this paper we prove that Hi(m, m) and Hi(1) (m, m) and chain of even cycles C4,n, C6,n are E-super arithmetic graceful.

E-super arithmetic graceful labelling of Hi(m, m), Hi(1) (m, m) and chain of even cycles

Acta Universitatis Sapientiae, Informatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

E-super arithmetic graceful labelling of H(m, m), H (m, m) and chain of even cycles

E-super arithmetic graceful labelling of a graph G is a bijection f from the union of the vertex set and edge set to the set of positive integers (1, 2, 3, …...

E-super arithmetic graceful labelling of H_i(m, m), H_i⁽¹⁾ (m, m) and chain of even cycles

Published Online: Aug 08, 2023

Page range: 81 - 90

Received: Jan 18, 2022

DOI: https://doi.org/10.2478/ausi-2023-0007

Keywords
E-super, H(m, m), H(m, m), C, C

© 2023 S. Anubala et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

E-super arithmetic graceful labelling of Hi(m, m), Hi(1) (m, m) and chain of even cycles

Published Online: Aug 08, 2023

Page range: 81 - 90

Received: Jan 18, 2022

DOI: https://doi.org/10.2478/ausi-2023-0007

KeywordsE-super, H(m, m), H(m, m), C, C

© 2023 S. Anubala et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

E-super arithmetic graceful labelling of H_i(m, m), H_i⁽¹⁾ (m, m) and chain of even cycles

Keywords
E-super, H(m, m), H(m, m), C, C