Abstract
Let R be an abelian semiring with unity, U be an R-semimodule. The inclusion subsemimodule graph of U, indicated IS(U), is a graph with nodes that all non-trivial subsemimodules of U and two different nodes N and L are adjacent if and only if N ⊂ L or L ⊂ N. In this worke, proved that if U is subtractive semimodule then IS(U) is not connected if is a direct sum of two simple R-semimodules. Besides, it has been proved that IS(U) is a complete graph if and only if U is a uniserial semimodule. girth, diameter, chromatic and clique numbers of IS(U) have been studied. and only if U.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of Discrete Mathematical Sciences and Cryptography
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
