{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,13]],"date-time":"2026-01-13T20:36:14Z","timestamp":1768336574338,"version":"3.49.0"},"reference-count":21,"publisher":"MathDoc\/Centre Mersenne","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:p>\n                    We show that for any positive integers\n                    <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <mml:mi>g<\/mml:mi>\n                    <\/mml:math>\n                    and\n                    <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <mml:mi>t<\/mml:mi>\n                    <\/mml:math>\n                    , there is a\u00a0\n                    <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <mml:msubsup>\n                        <mml:mi>K<\/mml:mi>\n                        <mml:mrow>\n                          <mml:mn>6<\/mml:mn>\n                        <\/mml:mrow>\n                        <mml:mrow>\n                          <mml:mo>(<\/mml:mo>\n                          <mml:mn>1<\/mml:mn>\n                          <mml:mo>)<\/mml:mo>\n                        <\/mml:mrow>\n                      <\/mml:msubsup>\n                    <\/mml:math>\n                    -induced-minor-free graph of girth at least\u00a0\n                    <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <mml:mi>g<\/mml:mi>\n                    <\/mml:math>\n                    that is not a\u00a0region intersection graph over the class of\n                    <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <mml:msub>\n                        <mml:mi>K<\/mml:mi>\n                        <mml:mi>t<\/mml:mi>\n                      <\/mml:msub>\n                    <\/mml:math>\n                    -minor-free graphs. This answers in a\u00a0strong form the recently raised question of whether for every graph\u00a0\n                    <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <mml:mi>H<\/mml:mi>\n                    <\/mml:math>\n                    there is a\u00a0graph\n                    <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <mml:msup>\n                        <mml:mi>H<\/mml:mi>\n                        <mml:mi>\u2032<\/mml:mi>\n                      <\/mml:msup>\n                    <\/mml:math>\n                    such that\n                    <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <mml:mi>H<\/mml:mi>\n                    <\/mml:math>\n                    -induced-minor-free graphs are region intersection graphs over\n                    <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <mml:msup>\n                        <mml:mi>H<\/mml:mi>\n                        <mml:mi>\u2032<\/mml:mi>\n                      <\/mml:msup>\n                    <\/mml:math>\n                    -minor-free graphs.\n                  <\/jats:p>","DOI":"10.5802\/igt.15","type":"journal-article","created":{"date-parts":[[2025,12,12]],"date-time":"2025-12-12T15:55:41Z","timestamp":1765554941000},"page":"313-327","source":"Crossref","is-referenced-by-count":0,"title":["Induced Minors and Region Intersection Graphs"],"prefix":"10.5802","volume":"2","author":[{"given":"\u00c9douard","family":"Bonnet","sequence":"first","affiliation":[{"name":"CNRS, ENS de Lyon, Universit\u00e9 Lyon 1, LIP, UMR 5668, 69342 Lyon Cedex 07, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Robert","family":"Hickingbotham","sequence":"additional","affiliation":[{"name":"Universit\u00e9 libre de Bruxelles, D\u00e9partement d\u2019Informatique, Ixelles, Belgium"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"3842","published-online":{"date-parts":[[2025,12,12]]},"reference":[{"key":"key2025121216553588861_1","author":"Abrishami, Tara","year":"2025","unstructured":"[1] Abrishami, Tara; Bria\u0144ski, Marcin; Davies, James; Du, Xiying; Masa\u0159\u00edkov\u00e1, Jana; Rz\u0105\u017cewski, Pawe\u0142; Walczak, Bartosz Burling graphs in graphs with large chromatic number (2025)","journal-title":"Burling graphs in graphs with large chromatic number"},{"key":"key2025121216553588861_2","doi-asserted-by":"publisher","first-page":"293","DOI":"10.1145\/100216.100254","article-title":"A Separator Theorem for Graphs with an Excluded Minor and its Applications","author":"Alon, Noga","year":"1990","unstructured":"[2] Alon, Noga; Seymour, Paul D.; Thomas, Robin A Separator Theorem for Graphs with an Excluded Minor and its Applications, Proceedings of the 22nd Annual ACM Symposium on Theory of Computing, May 13\u201317, 1990, Baltimore, Maryland, USA (Ortiz, Harriet, ed.), ACM Press (1990), pp. 293-299","journal-title":"Proceedings of the 22nd Annual ACM Symposium on Theory of Computing, May 13\u201317, 1990, Baltimore, Maryland, USA"},{"key":"key2025121216553588861_3","doi-asserted-by":"publisher","first-page":"215","DOI":"10.1016\/j.jctb.2024.03.003","article-title":"Sparse graphs with bounded induced cycle packing number have logarithmic treewidth","volume":"167","author":"Bonamy, Marthe","year":"2024","unstructured":"[3] Bonamy, Marthe; Bonnet, \u00c9douard; D\u00e9pr\u00e9s, Hugues; Esperet, Louis; Geniet, Colin; Hilaire, Claire; Thomass\u00e9, St\u00e9phan; Wesolek, Alexandra Sparse graphs with bounded induced cycle packing number have logarithmic treewidth, J. 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