Deficiency of forests

• DOI: 10.1515/math-2017-0122
• Publication Date: 2017-12-13T08:00:49Z
• Authors: Sana Javed; Mujtaba Hussain; Ayesha Riasat; Salma Kanwal; Mariam Imtiaz; M. O. Ahmad
• Keywords: Artificial intelligence; comb; 0102 computer and information sciences; Graph Labeling; 2-sided generalized comb; Quantum mechanics; 01 natural sciences; Graph; MAGIC (telescope); Optical Code Division Multiple Access; Antimagic Labeling; super edge magic total labeling; Engineering; Number theory; QA1-939; FOS: Electrical engineering, electronic engineering, information engineering; FOS: Mathematics; 05c78; Conjecture; Electrical and Electronic Engineering; 0101 mathematics; Graph Labeling and Dimension Problems; forests; Physics; Edge Coloring; Total Edge Irregularity; Discrete mathematics; 15. Life on land; bistar; Computer science; Programming language; Enhanced Data Rates for GSM Evolution; Computational Theory and Mathematics; Combinatorics; deficiency of graph; Computer Science; Physical Sciences; Integer (computer science); Mathematics

Abstract An edge-magic total labeling of an ( n , m )-graph G = V E ) is a one to map λ from ∪ onto the integers {1,2,…, + } with property that there exists integer constant c such x y xy for any ∈ ). It called super if )) }. Furthermore, has no labeling, then minimum number vertices added have deficiency graph denoted by μ s [4]. If do not exist, will be ∞. In this paper we study and forests comprising combs, 2-sided generalized combs bistar. The evidence provided these facts supports conjecture proposed Figueroa-Centeno, Ichishima Muntaner-Bartle [2].