{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,25]],"date-time":"2025-09-25T18:13:26Z","timestamp":1758824006711,"version":"3.37.3"},"reference-count":31,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2022,3,14]],"date-time":"2022-03-14T00:00:00Z","timestamp":1647216000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,3,14]],"date-time":"2022-03-14T00:00:00Z","timestamp":1647216000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Graphs and Combinatorics"],"published-print":{"date-parts":[[2022,6]]},"DOI":"10.1007\/s00373-022-02459-1","type":"journal-article","created":{"date-parts":[[2022,3,14]],"date-time":"2022-03-14T16:05:32Z","timestamp":1647273932000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Homogeneous Coherent Configurations from Spherical Buildings and Other Edge-Coloured Graphs"],"prefix":"10.1007","volume":"38","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6423-2108","authenticated-orcid":false,"given":"Pierre","family":"Guillot","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,3,14]]},"reference":[{"key":"2459_CR1","doi-asserted-by":"publisher","first-page":"158","DOI":"10.1016\/j.jalgebra.2017.03.001","volume":"481","author":"P Abramenko","year":"2017","unstructured":"Abramenko, P., Parkinson, J., Van Maldeghem, H.: Distance regularity in buildings and structure constants in Hecke algebras. J. Algebra 481, 158\u2013187 (2017)","journal-title":"J. Algebra"},{"key":"2459_CR2","volume-title":"Cambridge Tracts in Mathematics","author":"M Aschbacher","year":"1994","unstructured":"Aschbacher, M., Sporadic groups: Cambridge Tracts in Mathematics, vol. 104. Cambridge University Press, Cambridge (1994)"},{"key":"2459_CR3","first-page":"1","volume-title":"Algorithms in Combinatorial Design Theory: North-Holland Mathematics Studies","author":"AE Brouwer","year":"1985","unstructured":"Brouwer, A.E., Cohen, A.M.: Computation of some parameters of Lie geometries. In: Algorithms in Combinatorial Design Theory: North-Holland Mathematics Studies, vol. 114, pp. 1\u201348. Elsevier, Amsterdam (1985)"},{"key":"2459_CR4","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-34453-4","volume-title":"Diagram Geometry: Ergebnisse der Mathematik und ihrer Grenzgebiete","author":"F Buekenhout","year":"2013","unstructured":"Buekenhout, F., Cohen, A.M.: Diagram Geometry: Ergebnisse der Mathematik und ihrer Grenzgebiete, vol. 57. Springer, Heidelberg (2013)"},{"issue":"1","key":"2459_CR5","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1007\/BF00181466","volume":"36","author":"F Buekenhout","year":"1990","unstructured":"Buekenhout, F., Delandtsheer, A., Doyen, J., Kleidman, P.B., Liebeck, M.W., Saxl, J.: Linear spaces with flag-transitive automorphism groups. Geom. Dedicata 36(1), 89\u201394 (1990)","journal-title":"Geom. Dedicata"},{"issue":"18","key":"2459_CR6","doi-asserted-by":"publisher","first-page":"607","DOI":"10.1112\/plms\/s3-18.4.607","volume":"3","author":"J Cofman","year":"1968","unstructured":"Cofman, J.: Transitivity on triangles in finite projective planes. Proc. Lond. Math. Soc. 3(18), 607\u2013620 (1968)","journal-title":"Proc. Lond. Math. Soc."},{"key":"2459_CR7","volume-title":"Methods of Representation Theory, Wiley Classics Library","author":"CW Curtis","year":"1990","unstructured":"Curtis, C.W., Reiner, I.: Methods of Representation Theory, Wiley Classics Library, vol. 1. Wiley, New York (1990)"},{"key":"2459_CR8","first-page":"6","volume":"10","author":"P Delsarte","year":"1973","unstructured":"Delsarte, P.: An algebraic approach to the association schemes of coding theory. Philips Res. Rep. Suppl. 10, 6\u201397 (1973)","journal-title":"Philips Res. Rep. Suppl."},{"key":"2459_CR9","volume-title":"Finite Geometries: Classics in Mathematics","author":"P Dembowski","year":"1997","unstructured":"Dembowski, P.: Finite Geometries: Classics in Mathematics. Springer, Berlin (1997)"},{"key":"2459_CR10","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/978-94-017-1972-8_1","volume-title":"Investigations in Algebraic Theory of Combinatorial Objects: Applied Mathematics (Soviet Series)","author":"IA Farad\u017eev","year":"1994","unstructured":"Farad\u017eev, I.A., Klin, M.H., Muzichuk, M.E.: Cellular rings and groups of automorphisms of graphs. In: Investigations in Algebraic Theory of Combinatorial Objects: Applied Mathematics (Soviet Series), vol. 84, pp. 1\u2013152. Kluwer Academic Publishers, Dordrecht (1994)"},{"key":"2459_CR11","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1007\/BF01110390","volume":"86","author":"DA Foulser","year":"1964","unstructured":"Foulser, D.A.: Solvable flag transitive affine groups. Math. Z. 86, 191\u2013204 (1964)","journal-title":"Math. Z."},{"key":"2459_CR12","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-5340-9","volume-title":"Buildings and Classical Groups","author":"P Garrett","year":"1997","unstructured":"Garrett, P.: Buildings and Classical Groups. Chapman & Hall, London (1997)"},{"key":"2459_CR13","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781316414958","volume-title":"Erd\u0151s-Ko-Rado Theorems: Algebraic Approaches. Cambridge Studies in Advanced Mathematics","author":"C Godsil","year":"2016","unstructured":"Godsil, C., Meagher, K.: Erd\u0151s-Ko-Rado Theorems: Algebraic Approaches. Cambridge Studies in Advanced Mathematics, vol. 149. Cambridge University Press, Cambridge (2016)"},{"issue":"1","key":"2459_CR14","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/BF00147398","volume":"4","author":"DG Higman","year":"1975","unstructured":"Higman, D.G.: Coherent configurations. I. Ordinary representation theory. Geometriae Dedicata 4(1), 1\u201332 (1975)","journal-title":"Geometriae Dedicata"},{"key":"2459_CR15","volume-title":"Cambridge Studies in Advanced Mathematics","author":"JE Humphreys","year":"1990","unstructured":"Humphreys, J.E., Reflection groups and Coxeter groups: Cambridge Studies in Advanced Mathematics, vol. 29. Cambridge University Press, Cambridge (1990)"},{"key":"2459_CR16","doi-asserted-by":"publisher","first-page":"197","DOI":"10.2969\/aspm\/02410197","volume-title":"Progress in Algebraic Combinatorics: Advanced Studies in Pure Mathematics","author":"F Jaeger","year":"1996","unstructured":"Jaeger, F.: Towards a classification of spin models in terms of association schemes. In: Progress in Algebraic Combinatorics: Advanced Studies in Pure Mathematics, vol. 24, pp. 197\u2013225. Mathematical Society of Japan, Tokyo (1996)"},{"key":"2459_CR17","doi-asserted-by":"publisher","first-page":"83","DOI":"10.1016\/j.laa.2003.06.020","volume":"377","author":"M Klin","year":"2004","unstructured":"Klin, M., Munemasa, A., Muzychuk, M., Zieschang, P.-H.: Directed strongly regular graphs obtained from coherent algebras. Linear Algebra Appl. 377, 83\u2013109 (2004)","journal-title":"Linear Algebra Appl."},{"key":"2459_CR18","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511750915","volume-title":"Representations of Groups: Cambridge Studies in Advanced Mathematics","author":"K Lux","year":"2010","unstructured":"Lux, K., Pahlings, H.: Representations of Groups: Cambridge Studies in Advanced Mathematics, vol. 124. Cambridge University Press, Cambridge (2010)"},{"key":"2459_CR19","doi-asserted-by":"publisher","DOI":"10.4171\/188","volume-title":"A Brief Introduction to Spectral Graph Theory: EMS Textbooks in Mathematics","author":"B Nica","year":"2018","unstructured":"Nica, B.: A Brief Introduction to Spectral Graph Theory: EMS Textbooks in Mathematics. European Mathematical Society (EMS), Z\u00fcrich (2018)"},{"key":"2459_CR20","doi-asserted-by":"publisher","first-page":"68","DOI":"10.1007\/BFb0091013","volume-title":"Geometries and Groups: Lecture Notes in Mathematics","author":"U Ott","year":"1981","unstructured":"Ott, U.: Some remarks on representation theory in finite geometry. In: Geometries and Groups: Lecture Notes in Mathematics, vol. 893, pp. 68\u2013110. Springer, Berlin (1981)"},{"key":"2459_CR21","doi-asserted-by":"publisher","first-page":"186","DOI":"10.1007\/BF01181398","volume":"71","author":"TG Ostrom","year":"1959","unstructured":"Ostrom, T.G., Wagner, A.: On projective and affine planes with transitive collineation groups. Math. Z 71, 186\u2013199 (1959)","journal-title":"Math. Z"},{"issue":"1","key":"2459_CR22","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.jalgebra.2005.08.036","volume":"297","author":"J Parkinson","year":"2006","unstructured":"Parkinson, J.: Buildings and Hecke algebras. J. Algebra 297(1), 1\u201349 (2006)","journal-title":"J. Algebra"},{"issue":"2","key":"2459_CR23","doi-asserted-by":"publisher","first-page":"322","DOI":"10.1006\/jcta.2002.3305","volume":"100","author":"J Saxl","year":"2002","unstructured":"Saxl, J.: On finite linear spaces with almost simple flag-transitive automorphism groups. J. Combin. Theory Ser. A 100(2), 322\u2013348 (2002)","journal-title":"J. Combin. Theory Ser. A"},{"key":"2459_CR24","doi-asserted-by":"publisher","first-page":"477","DOI":"10.1016\/B978-044488355-1\/50013-X","volume-title":"Handbook of Incidence Geometry","author":"R Scharlau","year":"1995","unstructured":"Scharlau, R.: Buildings. In: Handbook of Incidence Geometry, pp. 477\u2013645. Elsevier, Amsterdam (1995)"},{"key":"2459_CR25","doi-asserted-by":"publisher","first-page":"519","DOI":"10.1007\/978-1-4612-5648-9_35","volume-title":"The Geometric Vein","author":"J Tits","year":"1981","unstructured":"Tits, J.: A local approach to buildings. In: The Geometric Vein, pp. 519\u2013547. Springer, New York (1981)"},{"key":"2459_CR26","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-04689-0","volume-title":"Moufang Polygons: Springer Monographs in Mathematics","author":"J Tits","year":"2002","unstructured":"Tits, J., Weiss, R.M.: Moufang Polygons: Springer Monographs in Mathematics. Springer, Berlin (2002)"},{"key":"2459_CR27","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-20972-7","volume-title":"Foundations of Incidence Geometry: Springer Monographs in Mathematics","author":"J Ueberberg","year":"2011","unstructured":"Ueberberg, J.: Foundations of Incidence Geometry: Springer Monographs in Mathematics. Springer, Heidelberg (2011)"},{"key":"2459_CR28","volume-title":"The Structure of Spherical Buildings","author":"RM Weiss","year":"2003","unstructured":"Weiss, R.M.: The Structure of Spherical Buildings. Princeton University Press, Princeton (2003)"},{"issue":"3","key":"2459_CR29","doi-asserted-by":"publisher","first-page":"677","DOI":"10.1006\/jabr.1995.1373","volume":"178","author":"P-H Zieschang","year":"1995","unstructured":"Zieschang, P.-H.: Homogeneous coherent configurations as generalized groups and their relationship to buildings. J. Algebra 178(3), 677\u2013709 (1995)","journal-title":"J. Algebra"},{"key":"2459_CR30","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0097032","volume-title":"An Algebraic Approach to Association Schemes: Lecture Notes in Mathematics","author":"P-H Zieschang","year":"1996","unstructured":"Zieschang, P.-H.: An Algebraic Approach to Association Schemes: Lecture Notes in Mathematics, vol. 1628. Springer, Berlin (1996)"},{"key":"2459_CR31","volume-title":"Theory of Association Schemes. Springer Monographs in Mathematics","author":"P-H Zieschang","year":"2005","unstructured":"Zieschang, P.-H.: Theory of Association Schemes. Springer Monographs in Mathematics. Springer, Berlin (2005)"}],"container-title":["Graphs and Combinatorics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00373-022-02459-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00373-022-02459-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00373-022-02459-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,6,9]],"date-time":"2022-06-09T22:44:09Z","timestamp":1654814649000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00373-022-02459-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,3,14]]},"references-count":31,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2022,6]]}},"alternative-id":["2459"],"URL":"https:\/\/doi.org\/10.1007\/s00373-022-02459-1","relation":{},"ISSN":["0911-0119","1435-5914"],"issn-type":[{"type":"print","value":"0911-0119"},{"type":"electronic","value":"1435-5914"}],"subject":[],"published":{"date-parts":[[2022,3,14]]},"assertion":[{"value":"10 March 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 January 2022","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 January 2022","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"14 March 2022","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"None.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"54"}}