H-Irregularity Strengths of Plane Graphs

Main Authors: Baca, Martin, Hinding, Nurdin, Javed, Aisha, Semanicova-Fenovcikova, Andrea
Format: Article PeerReviewed Book
Bahasa: eng
Terbitan: , 2021
Subjects:
Online Access: http://repository.unhas.ac.id/id/eprint/4759/
Daftar Isi:
  • Graph labelling is the mapping of elements of a graph (which can be vertices, edges, faces, or a combination) to a set of numbers. The mapping usually produces partial sums (weights) of the labeled elements of the graph, and they often have an asymmetrical distribution. In this paper, we study vertex-face and edge-face labelings of two-connected plane graphs. We introduce two new graph aracteristics, namely the vertex-face H-irregularity strength and edge-face H- irregularity Strength of plane graphs. Estimations of these characteristics are obtained, and exact values for two families of graphs are determined.