Computation of lucky number of planar graphs is NP-hard

Inclusive Lucky Labeling of Graphs

“…Several types of labeling were introduced and studied for different types of graphs. The concept of Lucky labeling of graphs were studied by A. Ahadi et al [1] and S. Akbari et al [2]. Lucky number for different kinds of graphs has been studied.…”

Lucky Labeling and Proper Lucky Labeling for Bloom Graph

“…Lucky labeling of graphs were studied in recent times by A. Ahai et al [8] and S. Akbari et al [9]. Lucky labeling is applied in real life situations such as transportation network, where pair wise connections are given some numerical values.…”

Proper Lucky Number of Hexagonal Mesh and Honeycomb Network

“…Graph coloring is used in various research areas of computer science such as networking, image segmentation, clustering, image capturing and data mining. The lucky labeling of graphs were studied by A. Ahai et al [2] and S. Akbari et al [3]. Suppose the vertices of a graph were labeled arbitrarily by positive integers and let s denote the sum of labels over all neighbours of vertex .…”