Abstract
A graph G(V,E) is (a,d)-edge antimagic total if there exists a bijection f:V(G)∪E(G)→{1,2,…|V(G)|+|E(G)|} such that the edge-weights Λ(uv)=f(u)+f(uv)+f(v),uv∈E(G) form an arithmetic progression with first term a and common difference d. It is said to be a super (a,d)-edge antimagic total if f (V(G))={1,2,…,|V(G)|}. In this paper, we have obtained a relation between a super (a,0)-edge antimagic total labeling and a super (a,2)- edge antimagic total labeling of any graph. Also we study the super (a,d)-edge antimagic total labeling of fan graphs and two special classes of star graphs namely bi-star and extended bi-star.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
