{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,7]],"date-time":"2026-03-07T03:03:20Z","timestamp":1772852600303,"version":"3.50.1"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>For a $k$-uniform hypergraph $H$, we obtain some trace formulas for the Laplacian tensor of $H$, which imply that $\\sum_{i=1}^nd_i^s$ ($s=1,\\ldots,k$) is determined by the Laplacian spectrum of $H$, where $d_1,\\ldots,d_n$ is the degree sequence of $H$. Using trace formulas for the Laplacian tensor, we obtain expressions for some coefficients of the Laplacian polynomial of a regular hypergraph. We give some spectral characterizations of odd-bipartite hypergraphs, and give a partial answer to a question posed by Shao et al (2014). We also give some spectral properties of power hypergraphs, and show that a conjecture posed by Hu et al (2013) holds under certain conditons.<\/jats:p>","DOI":"10.37236\/4430","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T00:53:38Z","timestamp":1578704018000},"source":"Crossref","is-referenced-by-count":46,"title":["Some Spectral Properties of Uniform Hypergraphs"],"prefix":"10.37236","volume":"21","author":[{"given":"Jiang","family":"Zhou","sequence":"first","affiliation":[]},{"given":"Lizhu","family":"Sun","sequence":"additional","affiliation":[]},{"given":"Wenzhe","family":"Wang","sequence":"additional","affiliation":[]},{"given":"Changjiang","family":"Bu","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2014,10,30]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v21i4p24\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v21i4p24\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T10:40:59Z","timestamp":1579257659000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v21i4p24"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,10,30]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2014,10,2]]}},"URL":"https:\/\/doi.org\/10.37236\/4430","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,10,30]]},"article-number":"P4.24"}}