Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Faculty Publications Article Faculty Publications -Articles Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Creator An entity primarily responsible for making the resource Karmakar, Priyanka; Krishna, Hariram; Pal, Souvik; Teja, G. Krishna Title A name given to the resource Characterization of Erd?s matrices by their zero entries Date A point or period of time associated with an event in the lifecycle of the resource 01-01-2026 Source A related resource from which the described resource is derived Linear Algebra and Its Applications;Volume;739;pp.154-169 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1016/j.laa.2026.03.010" target="_blank" rel="noreferrer noopener">https://doi.org/10.1016/j.laa.2026.03.010</a> <br /><br /><a href="https://www.scopus.com/pages/publications/105033551468?origin=resultslist" target="_blank" rel="noreferrer noopener">https://www.scopus.com/pages/publications/105033551468?origin=resultslist</a> Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Karmakar P., ICTS-TIFR, Bangalore, 560 089, India; Krishna H., Department of Mathematics, IISc, Bangalore, 560 012, India; Pal S., Department of Sciences and Humanities, Christ University, Bangalore, 560 074, India; Teja G.K., Stat. Math. Unit, Indian Statistical Institute Bangalore Center, Bangalore, 560 059, India Description An account of the resource An Erd?s matrix E is a bistochastic matrix whose sum of squares of entries (Frobenius norm squared) equals its maxtrace (maximum value of the trace of ?E, as ? varies over permutation matrices). We characterize all Erd?s E by the patterns of their zero entries; showing that each such skeleton has at most one E. We present an algorithm to find all n Erd?s matrices, which finds them up to n?5 quickly and also size n=6. We further show some presently known RCDS matrices (E in which the trace of ?E remains constant across all the permutations that avoid every zero-entry position in E) to be Erd?s. 2026 Elsevier Inc. Subject The topic of the resource Bistochastic matrix; Erd?s matrix; Frobenius norm; Inner and outer (permutations and) traces; RCDS matrix; Skeleton Publisher An entity responsible for making the resource available Elsevier Inc. Relation A related resource ISSN: 243795; CODEN: LAAPA Language A language of the resource English Type The nature or genre of the resource Article Rights Information about rights held in and over the resource Restricted Access; Hardcopy may be available in the library Format The file format, physical medium, or dimensions of the resource online