Further generalization of symmetric multiplicity theory to the geometric case over a field

Cinzori, IsaacJohnson, Charles R.Lang, HannahSaiago, Carlos M.2021-10-012021-10-012021-01-012300-7451PURE: 28200305PURE UUID: 85ab03e9-df40-4c26-93c1-48b0a17be6e5Scopus: 85100306747WOS: 000609469300001ORCID: /0000-0001-9843-3821/work/100826142http://hdl.handle.net/10362/1254190751964Using the recent geometric Parter-Wiener, etc. theorem and related results, it is shown that much of the multiplicity theory developed for real symmetric matrices associated with paths and generalized stars remains valid for combinatorially symmetric matrices over a field. A characterization of generalized stars in the case of combinatorially symmetric matrices is given.5342593engCombinatorially symmetric matrixEigenvalueGeneralized starGeometric multiplicityGraph of a matrixPathAlgebra and Number TheoryGeometry and TopologyFurther generalization of symmetric multiplicity theory to the geometric case over a fieldjournal article10.1515/spma-2020-0119https://www.scopus.com/pages/publications/85100306747