The Forcing Semi-H-cordial Numbers of Certain Graphs

R. Khoeilar1, S. M. Sheikholeslami1, Abdollah Khodkar2
1Department of Mathematics Azarbaijan University of Tarbiat Moallem, Tabriz, Iran
2Department of Mathematics, University of West Georgia Carrollton, GA 30118

Abstract

A labeling \( f \) of a graph \( G \) is called semi-H-cordial if for each vertex \( v \), \( |f(v)| \leq 1 \), \( |e_f(1) – e_f(-1)| \leq 1 \) and \( |v_f(1) – v_f(-1)| \leq 1 \). In this paper we study the forcing semi-H-cordial numbers of paths, cycles, stars, trees, Dutch-windmill graphs, wheels, grids and cylinders.