Some Problems in Cordial Labelings of Graphs - Boxwala, Samina
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In a seminal paper in 1987, I. Cahit introduced cordial labelings. We take G to be a finite, simple, undirected graph with vertex set V and edge set E. Let f be a surjection from the vertex set V to the set {0,1}. This function induces an edge labeling f(u)-f(v) to each edge uv of the graph G. Let v_f (0), v_f (1) denote respectively the number of vertices in G labeled 0 and 1 by f. Let e_f (0), e_f (1) denote respectively the number of edges in G labeled 0 and 1. Then f is called a cordial labeling of G if v_f (0)- v_f (1) 1 and e_f (0)-e_f (1) . A graph G is said to be cordial if it has a…mehr

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Produktbeschreibung
In a seminal paper in 1987, I. Cahit introduced cordial labelings. We take G to be a finite, simple, undirected graph with vertex set V and edge set E. Let f be a surjection from the vertex set V to the set {0,1}. This function induces an edge labeling f(u)-f(v) to each edge uv of the graph G. Let v_f (0), v_f (1) denote respectively the number of vertices in G labeled 0 and 1 by f. Let e_f (0), e_f (1) denote respectively the number of edges in G labeled 0 and 1. Then f is called a cordial labeling of G if v_f (0)- v_f (1) 1 and e_f (0)-e_f (1) . A graph G is said to be cordial if it has a cordial labeling. I. Cahit proved that every tree is cordial, all fans are cordial; an Eulerian graph is not cordial if the number of edges e is congruent to 2(mod 4). In this book, we have investigated the cordiality of various types of graphs viz. Corona graphs, t-ply graphs, elongated plys and some wheel related graphs.
Autorenporträt
Dr. Ms. Samina A. Boxwala, is Vice Principal & Head, Department of Mathematics at the Nowrosjee Wadia College, Pune. She has obtained her Masters in Mathematics from I.I.T. Powai and Ph.D. from Mumbai University. She has published many research papers on Graph Theory in reputed International journals and has co-authored several text books.