{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:45Z","timestamp":1753893825709,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>Given the adjacency matrix of an undirected graph, we define a coupling of the spectral measures at the vertices, whose moments count the rooted closed paths in the graph. The resulting joint spectral measure verifies numerous interesting properties that allow to recover minors of analytic functions of the adjacency matrix from its generalized moments. We prove an extension of Obata\u2019s Central Limit Theorem in growing star-graphs to the multivariate case and discuss some combinatorial properties using Viennot\u2019s heaps of pieces point of view.<\/jats:p>","DOI":"10.37236\/8674","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T02:04:45Z","timestamp":1578621885000},"source":"Crossref","is-referenced-by-count":1,"title":["A Coupling of the Spectral Measures at a Vertex"],"prefix":"10.37236","volume":"26","author":[{"given":"Thibault","family":"Espinasse","sequence":"first","affiliation":[]},{"given":"Paul","family":"Rochet","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2019,8,2]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v26i3p23\/7883","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v26i3p23\/7883","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,16]],"date-time":"2020-01-16T23:10:04Z","timestamp":1579216204000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v26i3p23"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,8,2]]},"references-count":0,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2019,7,4]]}},"URL":"https:\/\/doi.org\/10.37236\/8674","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2019,8,2]]},"article-number":"P3.23"}}