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math.AC2023
On Positive Matching Decomposition Conjectures of Hypergraphs
Marie Amalore Nambi, Neeraj Kumar
In this paper, we prove the conjectures of Gharakhloo and Welker (2023) that the positive matching decomposition number (pmd) of a -uniform hypergraph is bounded from above by a…
math.AC2023
(Almost) Complete Intersection Lovász-Saks-Schrijver ideals and regularity of their powers
Marie Amalore Nambi, Neeraj Kumar, Chitra Venugopal
We discuss the property of (almost) complete intersection of LSS-ideals of graphs of some special forms, like trees, unicyclic, and bicyclic graphs. Further, we give a sufficient c…