Ladder and Subdivision of Ladder Graphs with Pendant Edges are Odd Graceful
M. I. Moussa, Badr E.M. · International Journal on Applications of Graph Theory In wireless Ad Hoc Networks And sensor Networks · 2016
The ladder graph plays an important role in many applications as Electronics, Electrical and Wireless communication areas.The aim of this work is to present a new class of odd graceful labeling for the ladder graph.In particular, we show that the ladder graph L n with m-pendant L n mk 1 is odd graceful.We also show that the subdivision of ladder graph L n with m-pendant S(L n ) mk 1 is odd graceful.Finally, we prove that all the subdivision of triangular snakes ( k snake ) with pendant edges 1 ( ) k