Abstract
A nonempty set [Formula: see text] of a graph [Formula: see text] is an open packing set of [Formula: see text] if no two vertices of [Formula: see text] have a common neighbor in [Formula: see text]. The maximum cardinality of an open packing set is called the open packing number of [Formula: see text] and is denoted by [Formula: see text]. The open packing subdivision number [Formula: see text] is the minimum number of edges in [Formula: see text] that must be subdivided (each edge in [Formula: see text] can be subdivided at most once) in order to increase the open packing number. In this paper, we initiate a study on this parameter.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
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.