On super (a,d)-edge antimagic total labeling of certain families of graphs

• Autorzy: P. Roushini Leely Pushpam , A. Saibulla
• Języki publikacji: EN

Abstrakty

EN

A (p, q)-graph G is (a,d)-edge antimagic total if there exists a bijection f: V(G) ∪ E(G) → {1, 2,...,p + q} 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 the vertex labels are {1, 2,..., p} and the edge labels are {p + 1, p + 2,...,p + q}. In this paper, we study the super (a,d)-edge antimagic total labeling of special classes of graphs derived from copies of generalized ladder, fan, generalized prism and web graph.

Słowa kluczowe

EN

edge weight; magic labeling; antimagic labeling; ladder; fan graph; prism and web graph

Kategorie tematyczne

• 05C76: Graph operations (line graphs, products, etc.)
• 05C78: Graph labelling (graceful graphs, bandwidth, etc.)

• Wydawca: De Gruyter Open
• Czasopismo: Discussiones Mathematicae Graph Theory
• Rocznik: 2012
• Tom: 32
• Numer: 3
• Strony: 535-543

Daty

wydano

2012

otrzymano

2011-03-15

poprawiono

2011-08-02

zaakceptowano

2011-09-23

Twórcy

autor

P. Roushini Leely Pushpam

• Department of Mathematics, D.B. Jain College, Chennai - 600097, Tamil Nadu, India

autor

A. Saibulla

• Department of Mathematics, B.S. Abdur Rahman University, Chennai - 600048, Tamil Nadu, India

Bibliografia

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Identyfikatory

DOI

10.7151/dmgt.1623