{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,29]],"date-time":"2022-03-29T19:42:49Z","timestamp":1648582969462},"reference-count":19,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[1987,3,1]],"date-time":"1987-03-01T00:00:00Z","timestamp":541555200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":9635,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Mathematics"],"published-print":{"date-parts":[[1987,3]]},"DOI":"10.1016\/0012-365x(87)90236-6","type":"journal-article","created":{"date-parts":[[2003,1,17]],"date-time":"2003-01-17T17:34:03Z","timestamp":1042824843000},"page":"13-25","source":"Crossref","is-referenced-by-count":3,"title":["A short proof and a strengthening of the Whitney 2-isomorphism theorem on graphs"],"prefix":"10.1016","volume":"64","author":[{"given":"A.K","family":"Kelmans","sequence":"first","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/0012-365X(87)90236-6_BIB1","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1007\/BFb0060102","article-title":"On Steinitz's Theorem Concerning Convex 3-Polytopes and on Some Properties of Planar Graphs, The Many Facets of Graph Theory","volume":"Vol. 110","author":"Barnette","year":"1969","journal-title":"Springer Lecture Notes in Mathematics"},{"key":"10.1016\/0012-365X(87)90236-6_BIB2","series-title":"Graph Theory with Applications","author":"Bondy","year":"1976"},{"key":"10.1016\/0012-365X(87)90236-6_BIB3","doi-asserted-by":"crossref","first-page":"254","DOI":"10.1112\/jlms\/s1-42.1.254","article-title":"Note on isomorphism of graphs","volume":"42","author":"Halin","year":"1967","journal-title":"J. London Math. Soc."},{"issue":"4","key":"10.1016\/0012-365X(87)90236-6_BIB4","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1007\/BF02579433","article-title":"A 3-skein isomorphism of graphs","volume":"2","author":"Hemminger","year":"1982","journal-title":"Combinatorica"},{"key":"10.1016\/0012-365X(87)90236-6_BIB5","first-page":"347","article-title":"On n-skein isomorphism of graphs","volume":"36","author":"Hemminger","year":"1982","journal-title":"Congressus Numerantium"},{"key":"10.1016\/0012-365X(87)90236-6_BIB6","first-page":"317","article-title":"Graph expansion and reduction","author":"Kelmans","year":"1981","journal-title":"Algebraic Methods in Graph Theory"},{"key":"10.1016\/0012-365X(87)90236-6_BIB7","first-page":"317","article-title":"The concept of a vertex in a matroid, the non-separating cycles of a graph and a new criterion for graph planarity","author":"Kelmans","year":"1981","journal-title":"Algebraic Methods in Graph Theory"},{"key":"10.1016\/0012-365X(87)90236-6_BIB8","series-title":"I. Vsesouznoe sovschanie po statisticheskomu i diskretnomu analizu \u2026","article-title":"3-skeins in a 3-connected graph","author":"Kelmans","year":"1981"},{"key":"10.1016\/0012-365X(87)90236-6_BIB9","series-title":"Algoritmy diskretnoy optimizacii i ih primenenie v vychislitelnyh systemah","first-page":"3","article-title":"On existence of subgraphs of a given type in a graph","author":"Kelmans","year":"1983"},{"key":"10.1016\/0012-365X(87)90236-6_BIB10","series-title":"Modeli i algoritmy issledovaniya operaciy i ih primenenie k organizacii raboty v vychiclitelnyh systemah","first-page":"19","article-title":"On edge maps of graphs preserving the subgraphs of a given type","author":"Kelmans","year":"1984"},{"issue":"6","key":"10.1016\/0012-365X(87)90236-6_BIB11","first-page":"2998","article-title":"On homeomorphic embedding of graphs with given properties","volume":"274","author":"Kelmans","year":"1984","journal-title":"Doklady AN SSSR"},{"key":"10.1016\/0012-365X(87)90236-6_BIB12","unstructured":"A.K. Kelmans, On edge semiisomorphisms of graphs, to appear."},{"issue":"3","key":"10.1016\/0012-365X(87)90236-6_BIB13","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1016\/0012-365X(84)90001-3","article-title":"A strengthening of the Kuratowski planarity criterion for 3-connected graphs","volume":"51","author":"Kelmans","year":"1984","journal-title":"Discrete Math."},{"key":"10.1016\/0012-365X(87)90236-6_BIB14","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1016\/0095-8956(77)90001-6","article-title":"Circuit preserving edge maps","volume":"22","author":"Sanders","year":"1977","journal-title":"J. Combin. Theory Ser. B"},{"key":"10.1016\/0012-365X(87)90236-6_BIB15","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1002\/jgt.3190040106","article-title":"On Whitney's 2-isomorphism theorem for graphs","volume":"4","author":"Truemper","year":"1980","journal-title":"J. Graph Theory"},{"key":"10.1016\/0012-365X(87)90236-6_BIB16","doi-asserted-by":"crossref","unstructured":"K. Truemper, Partial Matroid Representations, European J. Combin., to appear. appear.","DOI":"10.1016\/S0195-6698(84)80041-4"},{"key":"10.1016\/0012-365X(87)90236-6_BIB17","series-title":"Connectivity in Graphs","author":"Tutte","year":"1966"},{"key":"10.1016\/0012-365X(87)90236-6_BIB18","doi-asserted-by":"crossref","first-page":"150","DOI":"10.2307\/2371086","article-title":"Congruent graphs and the connectivity of graphs","volume":"54","author":"Whitney","year":"1932","journal-title":"Amer. Math. J."},{"key":"10.1016\/0012-365X(87)90236-6_BIB19","doi-asserted-by":"crossref","first-page":"245","DOI":"10.2307\/2371127","article-title":"2-isomorphic graphs","volume":"55","author":"Whitney","year":"1933","journal-title":"Amer. Math. J."}],"container-title":["Discrete Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X87902366?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X87902366?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,3,30]],"date-time":"2019-03-30T11:54:10Z","timestamp":1553946850000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0012365X87902366"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1987,3]]},"references-count":19,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1987,3]]}},"alternative-id":["0012365X87902366"],"URL":"https:\/\/doi.org\/10.1016\/0012-365x(87)90236-6","relation":{},"ISSN":["0012-365X"],"issn-type":[{"value":"0012-365X","type":"print"}],"subject":[],"published":{"date-parts":[[1987,3]]}}}