{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:08Z","timestamp":1753893788956,"version":"3.41.2"},"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>A map  is a graph equipped  with a circular order of edges around each   vertex.  These   circular orders  represent  local planar embeddings. The genus of a map is the minimal genus of an orientable  surface in which  it can  be  embedded.  The maps of genus at most $g$ are characterized by  finitely many  forbidden maps, relatively   to an appropriate ordering related to the minor ordering of graphs.   This yields a \"noninformative\" characterization of these maps, that is expressible in monadic second-order logic. We give another one, which is more informative in  the sense that  it specifies the relevant surface embedding, in addition to stating its existence.<\/jats:p>","DOI":"10.37236\/1656","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T21:25:45Z","timestamp":1578691545000},"source":"Crossref","is-referenced-by-count":3,"title":["Map  Genus,   Forbidden Maps, and   Monadic Second-Order Logic"],"prefix":"10.37236","volume":"9","author":[{"given":"B.","family":"Courcelle","sequence":"first","affiliation":[]},{"given":"V.","family":"Dussaux","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2002,6,8]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v9i1r40\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v9i1r40\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T00:13:55Z","timestamp":1579306435000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v9i1r40"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,6,8]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2002,1,1]]}},"URL":"https:\/\/doi.org\/10.37236\/1656","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2002,6,8]]},"article-number":"R40"}}