Abstract
Let p be a positive integer and let A(p)(R,S) be the class of nonnegative integral matrices with entries less than or equal to p, with row–sum partition R, and column–sum partition S.In this paper we state a new necessary and sufficient condition for A(p)(R,S)≠∅. This condition generalizes the well known Gale–Ryser theorem. We also present a canonical construction for matrices in A(p)(R,S).
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 callDisclaimer: 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.
