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Jeyanthi, P., Maheswari, A., Vijayalakshmi, M.. (1394). Vertex Equitable Labeling of Double Alternate Snake Graphs. , 46(1), 27-34. doi: 10.22059/jac.2016.7923
P. Jeyanthi; A. Maheswari; M. Vijayalakshmi. "Vertex Equitable Labeling of Double Alternate Snake Graphs". , 46, 1, 1394, 27-34. doi: 10.22059/jac.2016.7923
Jeyanthi, P., Maheswari, A., Vijayalakshmi, M.. (1394). 'Vertex Equitable Labeling of Double Alternate Snake Graphs', , 46(1), pp. 27-34. doi: 10.22059/jac.2016.7923
Jeyanthi, P., Maheswari, A., Vijayalakshmi, M.. Vertex Equitable Labeling of Double Alternate Snake Graphs. , 1394; 46(1): 27-34. doi: 10.22059/jac.2016.7923

Vertex Equitable Labeling of Double Alternate Snake Graphs

Journal of Algorithms and Computation
مقاله 2، دوره 46، شماره 1، اسفند 2015، صفحه 27-34    اصل مقاله (711.17 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22059/jac.2016.7923
نویسندگان
P. Jeyanthi* 1؛ A. Maheswari2؛ M. Vijayalakshmi3
11Research Center, Department of Mathematics, Govindammal Aditanar College for women, Tiruchendur - 628 215, Tamilnadu,India
22Department of Mathematics, Kamaraj College of Engineering and Technology, Virudhunagar, India
33Department of Mathematics, Dr.G.U. Pope College of Engineering, Sawyerpuram, Thoothukudi District, Tamilnadu, India
چکیده
Let G be a graph with p vertices and q edges and A = {0, 1, 2, . . . , [q/2]}. A vertex labeling f : V (G) → A induces an edge labeling f∗ defined by f∗(uv) = f(u) + f(v) for all edges uv. For a ∈ A, let vf (a) be the number of vertices v with f(v) = a. A graph G is said to be vertex equitable if there exists a vertex labeling f such that for all a and b in A, |vf (a) − vf (b)| ≤ 1 and the induced edge labels are 1, 2, 3, . . . , q. In this paper, we prove that DA(Tn)⊙K1, DA(Tn)⊙2K1(DA(Tn) denote double alternate triangular snake) and DA(Qn) ⊙ K1, DA(Qn) ⊙ 2K1(DA(Qn) denote double alternate quadrilateral snake) are vertex equitable graphs.
کلیدواژه‌ها
vertex equitable labeling؛ vertex equitable graph؛ double alternate triangular snake؛ double alternate quadrilateral snake
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