{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,5]],"date-time":"2026-03-05T21:03:39Z","timestamp":1772744619322,"version":"3.50.1"},"reference-count":11,"publisher":"Cambridge University Press (CUP)","issue":"5","license":[{"start":{"date-parts":[[2020,6,30]],"date-time":"2020-06-30T00:00:00Z","timestamp":1593475200000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":["cambridge.org"],"crossmark-restriction":true},"short-container-title":["Combinator. Probab. Comp."],"published-print":{"date-parts":[[2020,9]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>A set of graphs are called cospectral if their adjacency matrices have the same characteristic polynomial. In this paper we introduce a simple method for constructing infinite families of cospectral regular graphs. The construction is valid for special cases of a property introduced by Schwenk. For the case of cubic (3-regular) graphs, computational results are given which show that the construction generates a large proportion of the cubic graphs, which are cospectral with another cubic graph.<\/jats:p>","DOI":"10.1017\/s096354832000019x","type":"journal-article","created":{"date-parts":[[2020,6,30]],"date-time":"2020-06-30T09:09:45Z","timestamp":1593508185000},"page":"664-671","update-policy":"https:\/\/doi.org\/10.1017\/policypage","source":"Crossref","is-referenced-by-count":1,"title":["Constructing families of cospectral regular graphs"],"prefix":"10.1017","volume":"29","author":[{"given":"M.","family":"Haythorpe","sequence":"first","affiliation":[]},{"given":"A.","family":"Newcombe","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2020,6,30]]},"reference":[{"key":"S096354832000019X_ref1","doi-asserted-by":"publisher","DOI":"10.37236\/2383"},{"key":"S096354832000019X_ref10","doi-asserted-by":"publisher","DOI":"10.1016\/0166-218X(96)85159-6"},{"key":"S096354832000019X_ref3","first-page":"66","article-title":"Construction of cospectral regular graphs","volume":"68","author":"Bapat","year":"2016","journal-title":"Mat. Vesnik"},{"key":"S096354832000019X_ref5","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4614-3232-6"},{"key":"S096354832000019X_ref7","first-page":"193","article-title":"Connected cospectral graphs are not necessarily both Hamiltonian","volume":"32","author":"Filar","year":"2005","journal-title":"Aust. Math. Soc. Gaz."},{"key":"S096354832000019X_ref2","volume-title":"Operations Research","author":"Baniasadi","year":"2016"},{"key":"S096354832000019X_ref4","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2014.11.002"},{"key":"S096354832000019X_ref6","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139086547"},{"key":"S096354832000019X_ref8","doi-asserted-by":"publisher","DOI":"10.1017\/S0963548300000043"},{"key":"S096354832000019X_ref9","doi-asserted-by":"publisher","DOI":"10.1007\/BF02189621"},{"key":"S096354832000019X_ref11","unstructured":"[11] Schwenk, A. J. (1979) Removal-cospectral sets of vertices in a graph. In 10th Southeastern International Conference on Combinatorics, Graph Theory and Computing, pp. 849\u2013860."}],"container-title":["Combinatorics, Probability and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S096354832000019X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,14]],"date-time":"2020-09-14T12:05:57Z","timestamp":1600085157000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S096354832000019X\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,6,30]]},"references-count":11,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2020,9]]}},"alternative-id":["S096354832000019X"],"URL":"https:\/\/doi.org\/10.1017\/s096354832000019x","relation":{},"ISSN":["0963-5483","1469-2163"],"issn-type":[{"value":"0963-5483","type":"print"},{"value":"1469-2163","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,6,30]]},"assertion":[{"value":"\u00a9 The Author(s), 2020. Published by Cambridge University Press","name":"copyright","label":"Copyright","group":{"name":"copyright_and_licensing","label":"Copyright and Licensing"}}]}}