{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,11]],"date-time":"2026-02-11T12:55:57Z","timestamp":1770814557602,"version":"3.50.1"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>We deal, from a theoretical point of view, with the asymmetric Hamiltonian $p$\u2013median problem. This problem, which has many applications, can be viewed as a mixed routing location problem. An ILP-formulation based on a new class of inequalities (subtour number constraints) is presented. The associated Hamiltonian $p$\u2013median polytope is examined, in particular its dimension and its affine hull. We determine which of the defining inequalities induce facets.<\/jats:p>","DOI":"10.37236\/1520","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T02:04:48Z","timestamp":1578708288000},"source":"Crossref","is-referenced-by-count":10,"title":["The Hamiltonian p&amp;ndash;Median Problem"],"prefix":"10.37236","volume":"7","author":[{"given":"Holger","family":"Glaab","sequence":"first","affiliation":[]},{"given":"Alexander","family":"Pott","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2000,4,25]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v7i1r42\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v7i1r42\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T05:23:34Z","timestamp":1579325014000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v7i1r42"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,4,25]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2000,1,1]]}},"URL":"https:\/\/doi.org\/10.37236\/1520","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2000,4,25]]},"article-number":"R42"}}