TY - JOUR
T1 - New results on super edge magic deficiency of kite graphs
AU - Imran, Muhammad
AU - Khan, Saima Sami
AU - Ahmad, Sarfraz
AU - Nadeem, Muhammad Faisal
AU - Siddiqui, Muhammad Kamran
N1 - Funding Information:
This research is supported by the Start-Up Research Grant 2016 of United Arab Emirates University (UAEU), Al Ain, United Arab Emirates via Grant No. G00002233 and UPAR Grant of UAEU via Grant No. G00002590.
Funding Information:
Acknowledgment: This research is supported by the Start-Up Research Grant 2016 of United Arab Emirates University (UAEU), Al Ain, United Arab Emirates via Grant No. G00002233 and UPAR Grant of UAEU via Grant No. G00002590.
Publisher Copyright:
© 2019 Academic Publications.
PY - 2019
Y1 - 2019
N2 - An edge magic labeling of a graph G is a bijection λ: V (G) ∪E(G) → (((1, 2, ... , |V(G)|+|E(G)|))) such that λ(u)+λ(uv)+λ(v) is constant, for every edge uv ∈ E(G). The concept of edge magic deficiency was introduce by Kotzig and Rosas. Motivated by this concept Figueroa-Centeno, Ichishima and Muntaner-Batle defined a similar concept for super edge magic total labelings. The super edge magic deficiency of a graph G, which is denoted by μs(G), is the minimum nonnegative integer n such that G∪nK1, has a super edge magic total labeling or it is equal to +∞ if there exists no such n. In this paper, we study the super edge magic deficiency of kite graphs.
AB - An edge magic labeling of a graph G is a bijection λ: V (G) ∪E(G) → (((1, 2, ... , |V(G)|+|E(G)|))) such that λ(u)+λ(uv)+λ(v) is constant, for every edge uv ∈ E(G). The concept of edge magic deficiency was introduce by Kotzig and Rosas. Motivated by this concept Figueroa-Centeno, Ichishima and Muntaner-Batle defined a similar concept for super edge magic total labelings. The super edge magic deficiency of a graph G, which is denoted by μs(G), is the minimum nonnegative integer n such that G∪nK1, has a super edge magic total labeling or it is equal to +∞ if there exists no such n. In this paper, we study the super edge magic deficiency of kite graphs.
KW - Cycle
KW - Edge magic labeling
KW - Kite graphs
KW - Path
KW - Super edge magic deficiency
KW - Super edge magic labeling
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U2 - 10.12732/ijam.v32i6.6
DO - 10.12732/ijam.v32i6.6
M3 - Article
AN - SCOPUS:85079152195
SN - 1311-1728
VL - 32
SP - 969
EP - 980
JO - International Journal of Applied Mathematics
JF - International Journal of Applied Mathematics
IS - 6
ER -