2024/12/23 by Tithi Dwary, Dwary, Tithi, K. V. Krishna +1
Computer Science · #Model-Driven Software Engineering Techniques #Semantic Web and Ontologies
paper · pdf · doi:10.48550/arxiv.2412.17648
In this work, we characterize the class of word-representable graphs with respect to the modular decomposition. Consequently, we determine the representation number of a word-representable graph in terms of the permutation-representation numbers of the modules and the representation number of the associated quotient graph. In this connection, we also obtain a complete answer to the open problem posed by Kitaev and Lozin on the word-representability of the lexicographical product of graphs.