On Super (a,d)-Edge-Antimagic Total Labeling of Special Types of Crown Graphs
Joint Authors
Ullah, Himayat
Ali, Murtaza
Semaničová-Feňovčíková, Andrea
Ali, Gohar
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-10
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
For a graph G=(V,E), a bijection f from V(G)∪E(G)→{1,2,…,|V(G)|+|E(G)|} is called (a,d)-edge-antimagic total ((a,d)-EAT) labeling of G if the edge-weights w(xy)=f(x)+f(y)+f(xy),xy∈E(G), form an arithmetic progression starting from a and having a common difference d, where a>0 and d≥0 are two fixed integers.
An (a,d)-EAT labeling is called super (a,d)-EAT labeling if the vertices are labeled with the smallest possible numbers; that is, f(V)={1,2,…,|V(G)|}.
In this paper, we study super (a,d)-EAT labeling of cycles with some pendant edges attached to different vertices of the cycle.
American Psychological Association (APA)
Ullah, Himayat& Ali, Gohar& Ali, Murtaza& Semaničová-Feňovčíková, Andrea. 2013. On Super (a,d)-Edge-Antimagic Total Labeling of Special Types of Crown Graphs. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-506311
Modern Language Association (MLA)
Ullah, Himayat…[et al.]. On Super (a,d)-Edge-Antimagic Total Labeling of Special Types of Crown Graphs. Journal of Applied Mathematics No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-506311
American Medical Association (AMA)
Ullah, Himayat& Ali, Gohar& Ali, Murtaza& Semaničová-Feňovčíková, Andrea. On Super (a,d)-Edge-Antimagic Total Labeling of Special Types of Crown Graphs. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-506311
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-506311