k-odd mean labeling of prism

‎A (p,q) graph G is said to have a k-odd mean‎ ‎labeling (k \ge ۱) if there exists an injection f‎ : ‎V‎ ‎\to \{۰‎, ‎۱‎, ‎۲‎, ‎\ldots‎, ‎۲k‎ + ‎۲q‎ - ‎۳\} such that the‎ ‎induced map f^* defined on E by f^*(uv) =‎ ‎\left\lceil \frac{f(u)+f(v)}{۲}\right\rceil is a‎ ‎bijection from E to \{۲k‎ - ‎۱‎, ‎۲k‎ + ‎۱‎, ‎۲k‎ + ‎۳‎, ‎\ldots‎, ‎۲‎ ‎k‎ + ‎۲q‎ - ‎۳\}‎. ‎A  graph that admits k-odd mean‎ ‎labeling is called k-odd mean graph‎. ‎In this paper‎, ‎we investigate k-odd mean labeling of prism C_m \times P_n‎.

کلیدواژه ها:

k-odd mean labeling ، k-odd mean graph ، Prism