Applications and Structural Study of b-Coloring Properties in Ladder Graph Families
K. P. Thilagavathy, K. Gavaskar, R. Bavya · Zenodo (CERN European Organization for Nuclear Research) · 2026
Abstract: In Mathematics, Graph theory presents an efficient mathematical framework for modelling and analysing real-world network structures, especially transportation systems. In this study, various ladder-based graphs such as the ladder graph , slanting ladder , open ladder , triangular ladder , and open diagonal ladder are defined. The b-chromatic number of comb product of these graphs with path graphs are discussed. Also the structural properties of Ladder graph is also discussed. Keywords: b-chromatic number, path graph, Lader graph, Triangular Ladder, comb product. Abstract: In Mathematics, Graph theory presents an efficient mathematical framework for modelling and analysing real-world network structures, especially transportation systems. In this study, various ladder-based graphs such as the ladder graph , slanting ladder , open ladder , triangular ladder , and open diagonal ladder are defined. The b-chromatic number of comb product of these graphs with path graphs are discussed. Also the structural properties of Ladder graph is also discussed. Keywords: b-chromatic number, path graph, Lader graph, Triangular Ladder, comb product.