{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,22]],"date-time":"2026-01-22T20:48:10Z","timestamp":1769114890412,"version":"3.49.0"},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2010,2,24]],"date-time":"2010-02-24T00:00:00Z","timestamp":1266969600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Graphs and Combinatorics"],"published-print":{"date-parts":[[2010,5]]},"DOI":"10.1007\/s00373-010-0916-y","type":"journal-article","created":{"date-parts":[[2010,2,23]],"date-time":"2010-02-23T08:14:21Z","timestamp":1266912861000},"page":"329-344","source":"Crossref","is-referenced-by-count":1,"title":["Splitter Theorems for 4-Regular Graphs"],"prefix":"10.1007","volume":"26","author":[{"given":"Guoli","family":"Ding","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jinko","family":"Kanno","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2010,2,24]]},"reference":[{"key":"#cr-split#-916_CR1.1","doi-asserted-by":"crossref","unstructured":"Bories, F., Jolivet, J.-L., Fouquet, J.-L.: Construction of 4-regular graphs. Comb. Math. 99\u2013118 (1981);","DOI":"10.1016\/S0304-0208(08)73378-4"},{"key":"#cr-split#-916_CR1.2","unstructured":"North-Holland Math. Stud.75, North-Holland, Amsterdam (1983)"},{"issue":"3","key":"916_CR2","doi-asserted-by":"crossref","first-page":"355","DOI":"10.1017\/S0963548305007340","volume":"15","author":"G. Ding","year":"2006","unstructured":"Ding G., Kanno J.: Splitter theorems for cubic graphs. Combin. Probab. Comput. 15(3), 355\u2013375 (2006)","journal-title":"Combin. Probab. Comput."},{"issue":"1","key":"916_CR3","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1137\/0405010","volume":"5","author":"M.R. Fellows","year":"1992","unstructured":"Fellows M.R., Langston M.A.: On well-partial-order theory and its application to combinatorial problems of VLSI design. SIAM J. Discret Math. 5(1), 117\u2013126 (1992)","journal-title":"SIAM J. Discret Math."},{"issue":"1\u20133","key":"916_CR4","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1016\/S0012-365X(00)00080-7","volume":"230","author":"R. Govindan","year":"2001","unstructured":"Govindan R., Ramachandramurthi S.: A weak immersion relation on graphs and its applications. Discrete Math. 230(1\u20133), 189\u2013206 (2001)","journal-title":"Discrete Math."},{"key":"916_CR5","doi-asserted-by":"crossref","unstructured":"Johnson, E.L.: A proof of the four-coloring of the edges of a regular three-degree graph, O.R.C. 63-28 (R.R) mimeographed report. Operations Research Center, University of California (1963)","DOI":"10.21236\/AD0426484"},{"key":"916_CR6","unstructured":"Kanno, J.: Splitter theorems for 3- and 4-regular graphs, Ph.D. dissertation, Louisiana State University, Baton Rouge, Louisiana (2003). http:\/\/etd.lsu.edu:8085\/docs\/available\/etd-0529103-123537\/"},{"key":"916_CR7","unstructured":"Kelmans, A.K.: Graph expansion and reduction. In: Algebraic Methods in Graph Theory, vol. 1; Colloq. Math. Soc. J\u00e1nos Bolyai (Szeged, Hungary, 1978) North-Holland, 25 318\u2013343 (1981)"},{"key":"916_CR8","doi-asserted-by":"crossref","unstructured":"Kelmans, A.K.: Graph planarity and related problems. In: Robertson, N., Seymour, P. (eds.) Contemporary Mathematics, Graph Structure Theory, vol. 147, pp. 635\u2013667. American Mathematical Society (1993)","DOI":"10.1090\/conm\/147\/01205"},{"key":"916_CR9","doi-asserted-by":"crossref","first-page":"697","DOI":"10.1017\/S0305004100039062","volume":"61","author":"C.St.J.A. Nash-Williams","year":"1965","unstructured":"Nash-Williams C.St.J.A.: On well-quasi-ordering infinite trees. Proc. Camb. Phil. Soc. 61, 697\u2013720 (1965)","journal-title":"Proc. Camb. Phil. Soc."},{"key":"916_CR10","doi-asserted-by":"crossref","first-page":"294","DOI":"10.1112\/blms\/14.4.294","volume":"14","author":"C.St.J.A. Nash-Williams","year":"1982","unstructured":"Nash-Williams C.St.J.A.: A glance at graph theory\u2014part II. Bull. Lond. Math. Soc. 14, 294\u2013328 (1982)","journal-title":"Bull. Lond. Math. Soc."},{"key":"916_CR11","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1016\/0095-8956(82)90077-6","volume":"32","author":"S. Negami","year":"1982","unstructured":"Negami S.: A characterization of 3-connected graphs containing a given graph. J. Combin. Theory Ser. B 32, 69\u201374 (1982)","journal-title":"J. Combin. Theory Ser. B"},{"key":"916_CR12","volume-title":"The Four-Color Problem","author":"O. Ore","year":"1967","unstructured":"Ore O.: The Four-Color Problem. Academic Press, New York (1967)"},{"key":"916_CR13","unstructured":"Robertson, N., Seymour, P.: Graph minors. XXIII. Nash-Williams immersion conjecture (preprint)"},{"key":"916_CR14","unstructured":"Robertson, N., Seymour, P.D., Thomas, R.: Cyclically five-connected cubic graphs, preprint"},{"key":"916_CR15","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1016\/0095-8956(80)90075-1","volume":"28","author":"P.D. Seymour","year":"1980","unstructured":"Seymour P.D.: Decomposition of regular matroids. J. Combin. Theory Ser. B 28, 305\u2013359 (1980)","journal-title":"J. Combin. Theory Ser. B"},{"key":"916_CR16","doi-asserted-by":"crossref","first-page":"124","DOI":"10.1016\/0095-8956(74)90054-9","volume":"16","author":"S. Toida","year":"1974","unstructured":"Toida S.: Construction of quartic graphs. J. Combin. Theory Ser. B 16, 124\u2013133 (1974)","journal-title":"J. Combin. Theory Ser. B"},{"key":"916_CR17","volume-title":"Introduction to Graph Theory","author":"D.B. West","year":"2001","unstructured":"West D.B.: Introduction to Graph Theory. Prentice-Hall, NJ (2001)"}],"container-title":["Graphs and Combinatorics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00373-010-0916-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00373-010-0916-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00373-010-0916-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,28]],"date-time":"2019-05-28T14:58:30Z","timestamp":1559055510000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00373-010-0916-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,2,24]]},"references-count":18,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2010,5]]}},"alternative-id":["916"],"URL":"https:\/\/doi.org\/10.1007\/s00373-010-0916-y","relation":{},"ISSN":["0911-0119","1435-5914"],"issn-type":[{"value":"0911-0119","type":"print"},{"value":"1435-5914","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,2,24]]}}}