Harmonic mean labelings of graphs

Abstract

Graph theory has had a tremendous development in recent times newlineit is a delightful ground for the exploration of proof techniques in newlinediscrete mathematics and its results have applications in many areas newlineof computing social and natural sciences 4 problems involving newlinegraphs first appeared in mathematical folklore as puzzles example newlinekonigsberg bridge problem later graphs appeared in electrical newlineengineering kirchoff s law chemistry psychology and economics newlinebefore becoming a unified field of study newline newline newline