Generalized k−Modulo graph.

In the field of Theoretical Computer Science and Molecular Biology, Combinatorics on words has contributed a lot and has a wide range of applications in cancer cell detection, pattern matching and fractal geometry. Motivated by the concept of word graphs, in this paper, construction of a Generalized k−Modulo Graph and Generalized Complement of k−Modulo Graph are initiated. Subgraph properties are analysed and also adjacency matrix is discussed. Finally, Spectrum of graphs are calculated and a comparative relation is shown. [ABSTRACT FROM AUTHOR]