scholarly journals Graceful Labeling of Wheel Graph and Middle Graph of Wheel Graph under IBEDE and SIBEDE Approach

2018 ◽  
Vol 1000 ◽  
pp. 012078 ◽  
Author(s):  
V Rajeswari ◽  
K Thiagarajan
2016 ◽  
Vol 134 (5) ◽  
pp. 1-5 ◽  
Author(s):  
Mohammed Alatif ◽  
Puttaswamy Rangaiah ◽  
Nayaka S.R.

2020 ◽  
Vol 2020 ◽  
pp. 1-18
Author(s):  
Mohamed R. Zeen El Deen

In this paper, we introduce a new type of labeling of a graph G with p vertices and q edges called edge δ− graceful labeling, for any positive integer δ, as a bijective mapping f of the edge set EG into the set δ,2δ,3δ,⋯,qδ such that the induced mapping f∗:VG→0,δ,2δ,3δ,⋯,qδ−δ, given by f∗u=∑uv∈EGfuvmodδk, where k=maxp,q, is an injective function. We prove the existence of an edge δ− graceful labeling, for any positive integer δ, for some cycle-related graphs like the wheel graph, alternate triangular cycle, double wheel graph Wn,n, the prism graph Πn, the prism of the wheel PWn, the gear graph Gn, the closed helm CHn, the butterfly graph Bn, and the friendship Frn.


Author(s):  
M. A. Perumal ◽  
S. Navaneethakrishnan ◽  
A. Nagaraja ◽  
S. Arockiaraj

2018 ◽  
Vol 9 (12) ◽  
pp. 2147-2152
Author(s):  
V. Raju ◽  
M. Paruvatha vathana

2020 ◽  
Vol 9 (4) ◽  
pp. 1973-1981
Author(s):  
A. Kumar ◽  
V. Kumar ◽  
K. Kumar ◽  
P. Gupta ◽  
Y. Khandelwal
Keyword(s):  

2021 ◽  
Vol 1836 (1) ◽  
pp. 012014
Author(s):  
G R J Eugenio ◽  
M J P Ruiz ◽  
M A C Tolentino

2021 ◽  
Vol 1872 (1) ◽  
pp. 012007
Author(s):  
D Jayantara ◽  
Purwanto ◽  
S Irawati

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