{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T03:46:48Z","timestamp":1740109608785,"version":"3.37.3"},"reference-count":21,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2017,2,14]],"date-time":"2017-02-14T00:00:00Z","timestamp":1487030400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/100000893","name":"Simons Foundation","doi-asserted-by":"publisher","award":["359516"],"award-info":[{"award-number":["359516"]}],"id":[{"id":"10.13039\/100000893","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100009226","name":"National Security Agency","doi-asserted-by":"publisher","award":["H98230-1-02192"],"award-info":[{"award-number":["H98230-1-02192"]}],"id":[{"id":"10.13039\/100009226","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Discrete Comput Geom"],"published-print":{"date-parts":[[2017,7]]},"DOI":"10.1007\/s00454-017-9868-9","type":"journal-article","created":{"date-parts":[[2017,2,14]],"date-time":"2017-02-14T09:52:08Z","timestamp":1487065928000},"page":"217-231","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Connectivity and \n                $$W_v$$\n                \n                    \n                                    \n                        \n                            W\n                            v\n                        \n                    \n                \n            -Paths in Polyhedral Maps on Surfaces"],"prefix":"10.1007","volume":"58","author":[{"given":"Michael D.","family":"Plummer","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7756-3950","authenticated-orcid":false,"given":"Dong","family":"Ye","sequence":"additional","affiliation":[]},{"given":"Xiaoya","family":"Zha","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,2,14]]},"reference":[{"key":"9868_CR1","doi-asserted-by":"crossref","first-page":"62","DOI":"10.1016\/S0021-9800(69)80007-4","volume":"7","author":"DW Barnette","year":"1969","unstructured":"Barnette, D.W.: \n                        $$W_v$$\n                        \n                            \n                                            \n                                \n                                    W\n                                    v\n                                \n                            \n                        \n                     paths on 3-polytopes. J. Comb. Theory 7, 62\u201370 (1969)","journal-title":"J. Comb. Theory"},{"issue":"2","key":"9868_CR2","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1016\/0012-365X(86)90112-3","volume":"62","author":"DW Barnette","year":"1986","unstructured":"Barnette, D.W.: \n                        $$W_v$$\n                        \n                            \n                                            \n                                \n                                    W\n                                    v\n                                \n                            \n                        \n                     paths in the projective plane. Discrete Math. 62(2), 127\u2013131 (1986)","journal-title":"Discrete Math."},{"issue":"6","key":"9868_CR3","doi-asserted-by":"crossref","first-page":"603","DOI":"10.1007\/BF02187811","volume":"5","author":"DW Barnette","year":"1990","unstructured":"Barnette, D.W.: \n                        $$W_v$$\n                        \n                            \n                                            \n                                \n                                    W\n                                    v\n                                \n                            \n                        \n                     paths on the torus. Discrete Comput. Geom. 5(6), 603\u2013608 (1990)","journal-title":"Discrete Comput. Geom."},{"issue":"2","key":"9868_CR4","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1007\/BF01264920","volume":"46","author":"DW Barnette","year":"1993","unstructured":"Barnette, D.W.: A 2-manifold of genus 8 without the \n                        $$W_v$$\n                        \n                            \n                                            \n                                \n                                    W\n                                    v\n                                \n                            \n                        \n                    -property. Geom. Dedicata 46(2), 211\u2013214 (1993)","journal-title":"Geom. Dedicata"},{"key":"9868_CR5","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1112\/S0025579300004770","volume":"20","author":"RJ Cook","year":"1973","unstructured":"Cook, R.J.: Heawood\u2019s theorem and connectivity. Mathematika 20, 201\u2013207 (1973)","journal-title":"Mathematika"},{"issue":"1","key":"9868_CR6","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1112\/jlms\/s2-7.1.11","volume":"7","author":"PR Goodey","year":"1973","unstructured":"Goodey, P.R.: \n                        $$W_v$$\n                        \n                            \n                                            \n                                \n                                    W\n                                    v\n                                \n                            \n                        \n                     and \n                        $$W_e$$\n                        \n                            \n                                            \n                                \n                                    W\n                                    e\n                                \n                            \n                        \n                     paths on simple 3-polytopes. J. Lond. Math. Soc. 7(1), 11\u201316 (1973)","journal-title":"J. Lond. Math. Soc."},{"key":"9868_CR7","volume-title":"Convex Polytopes. Pure and Applied Mathematics","author":"B Gr\u00fcnbaum","year":"1967","unstructured":"Gr\u00fcnbaum, B.: Convex Polytopes. Pure and Applied Mathematics, vol. 16. Wiley, New York (1967)"},{"key":"9868_CR8","doi-asserted-by":"crossref","first-page":"946","DOI":"10.1137\/0113062","volume":"13","author":"V Klee","year":"1965","unstructured":"Klee, V.: Paths on polyhedra I. J. Soc. Ind. Appl. Math. 13, 946\u2013956 (1965)","journal-title":"J. Soc. Ind. Appl. Math."},{"issue":"2","key":"9868_CR9","doi-asserted-by":"crossref","first-page":"249","DOI":"10.2140\/pjm.1966.17.249","volume":"17","author":"V Klee","year":"1966","unstructured":"Klee, V.: Paths on polyhedra II. Pac. J. Math. 17(2), 249\u2013262 (1966)","journal-title":"Pac. J. Math."},{"key":"9868_CR10","first-page":"320","volume-title":"Proceedings of the Colloquium on Convexity","author":"V Klee","year":"1967","unstructured":"Klee, V.: Problem 19. In: Fenchel, W. (ed.) Proceedings of the Colloquium on Convexity, pp. 320\u2013321. K\u00f8benhavns Universitets Matematiske Institut, Copenhagen (1967)"},{"issue":"4","key":"9868_CR11","doi-asserted-by":"crossref","first-page":"718","DOI":"10.1287\/moor.12.4.718","volume":"12","author":"V Klee","year":"1987","unstructured":"Klee, V., Kleinschmidt, P.: The \n                        $$d$$\n                        \n                            \n                                            \n                                d\n                            \n                        \n                    -step conjecture and its relatives. Math. Oper. Res. 12(4), 718\u2013755 (1987)","journal-title":"Math. Oper. Res."},{"key":"9868_CR12","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1007\/BF02395040","volume":"117","author":"V Klee","year":"1967","unstructured":"Klee, V., Walkup, D.W.: The \n                        $$d$$\n                        \n                            \n                                            \n                                d\n                            \n                        \n                    -step conjecture for polyhedra of dimension \n                        $$d<6$$\n                        \n                            \n                                            \n                                \n                                    d\n                                    <\n                                    6\n                                \n                            \n                        \n                    . Acta Math. 117, 53\u201378 (1967)","journal-title":"Acta Math."},{"issue":"1","key":"9868_CR13","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1112\/plms\/s3-20.1.161","volume":"20","author":"DG Larman","year":"1970","unstructured":"Larman, D.G.: Paths of polytopes. Proc. Lond. Math. Soc. 20(1), 161\u2013178 (1970)","journal-title":"Proc. Lond. Math. Soc."},{"issue":"4","key":"9868_CR14","doi-asserted-by":"crossref","first-page":"595","DOI":"10.1287\/moor.5.4.595","volume":"5","author":"P Mani","year":"1980","unstructured":"Mani, P., Walkup, D.W.: A 3-sphere counterexample to the \n                        $$W_v$$\n                        \n                            \n                                            \n                                \n                                    W\n                                    v\n                                \n                            \n                        \n                    -path conjecture. Math. Oper. Res. 5(4), 595\u2013598 (1980)","journal-title":"Math. Oper. Res."},{"key":"9868_CR15","volume-title":"Graphs on Surfaces. Johns Hopkins Studies in the Mathematical Sciences","author":"B Mohar","year":"2001","unstructured":"Mohar, B., Thomassen, C.: Graphs on Surfaces. Johns Hopkins Studies in the Mathematical Sciences. Johns Hopkins University Press, Baltimore (2001)"},{"unstructured":"Pulapaka, H.: Non-revisiting paths and cycles in polyhedral maps. PhD Thesis, University of Florida. ProQuest LLC, Ann Arbor (1995)","key":"9868_CR16"},{"doi-asserted-by":"publisher","unstructured":"Pulapaka, H., Vince, A.: Nonrevisiting paths on surfaces. Discrete Comput. Geom. 15(3), 353\u2013357 (1996). doi:\n                        10.1007\/BF02711500","key":"9868_CR17","DOI":"10.1007\/BF02711500"},{"issue":"1\u20133","key":"9868_CR18","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1016\/S0012-365X(97)00151-9","volume":"182","author":"H Pulapaka","year":"1998","unstructured":"Pulapaka, H., Vince, A.: Non-revisiting paths on surfaces with low genus. Discrete Math. 182(1\u20133), 267\u2013277 (1998)","journal-title":"Discrete Math."},{"issue":"1","key":"9868_CR19","doi-asserted-by":"crossref","first-page":"100","DOI":"10.1006\/jctb.2001.2065","volume":"84","author":"RB Richter","year":"2002","unstructured":"Richter, R.B., Vitray, R.P.: On essential and inessential polygons in embedded graphs. J. Comb. Theory Ser. B 84(1), 100\u2013117 (2002)","journal-title":"J. Comb. Theory Ser. B"},{"issue":"3","key":"9868_CR20","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1002\/(SICI)1097-0118(199611)23:3<265::AID-JGT6>3.0.CO;2-Q","volume":"23","author":"DP Sanders","year":"1996","unstructured":"Sanders, D.P.: On the face touching number. J. Graph Theory 23(3), 265\u2013271 (1996)","journal-title":"J. Graph Theory"},{"issue":"1","key":"9868_CR21","doi-asserted-by":"crossref","first-page":"383","DOI":"10.4007\/annals.2012.176.1.7","volume":"176","author":"F Santos","year":"2012","unstructured":"Santos, F.: A counterexample to the Hirsch conjecture. Ann. Math. 176(1), 383\u2013412 (2012)","journal-title":"Ann. Math."}],"container-title":["Discrete &amp; Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00454-017-9868-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-017-9868-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-017-9868-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,2]],"date-time":"2017-06-02T10:39:42Z","timestamp":1496399982000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00454-017-9868-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,2,14]]},"references-count":21,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2017,7]]}},"alternative-id":["9868"],"URL":"https:\/\/doi.org\/10.1007\/s00454-017-9868-9","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"type":"print","value":"0179-5376"},{"type":"electronic","value":"1432-0444"}],"subject":[],"published":{"date-parts":[[2017,2,14]]}}}