@article{Jeyanthi_Maheswari_Vijayalakshmi_2017, title={Vertex equitable labeling of union of cyclic snake related graphs}, volume={35}, url={https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1226}, DOI={10.4067/S0716-09172016000200003}, abstractNote={<span style="font-family: verdana; font-size: small; text-align: justify;">Let G be a graph with p vértices 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 v</span><sub style="font-family: verdana; text-align: justify;">f</sub><span style="font-family: verdana; font-size: small; text-align: justify;"> (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, |v</span><sub style="font-family: verdana; text-align: justify;">f</sub><span style="font-family: verdana; font-size: small; text-align: justify;">(a) — v</span><sub style="font-family: verdana; text-align: justify;">f</sub><span style="font-family: verdana; font-size: small; text-align: justify;">b)| ≤ 1 and the induced edge labels are 1, 2, 3,...,q. In this paper, we prove that key graph KY(m, n), P(2.QS</span><sub style="font-family: verdana; text-align: justify;">n</sub><span style="font-family: verdana; font-size: small; text-align: justify;">), P(m.QS</span><sub style="font-family: verdana; text-align: justify;">n</sub><span style="font-family: verdana; font-size: small; text-align: justify;">), C(n.QS</span><sub style="font-family: verdana; text-align: justify;">m</sub><span style="font-family: verdana; font-size: small; text-align: justify;">), NQ(m) and K</span><sub style="font-family: verdana; text-align: justify;">1,n</sub><span style="font-family: verdana; font-size: small; text-align: justify;"> X P</span><sub style="font-family: verdana; text-align: justify;">2</sub><span style="font-family: verdana; font-size: small; text-align: justify;"> are vertex equitable graphs.</span>}, number={2}, journal={Proyecciones (Antofagasta, On line)}, author={Jeyanthi, P. and Maheswari, A. and Vijayalakshmi, M.}, year={2017}, month={Mar.}, pages={177-186} }