{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,11]],"date-time":"2025-09-11T17:41:50Z","timestamp":1757612510246,"version":"3.44.0"},"reference-count":7,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2021,1,21]],"date-time":"2021-01-21T00:00:00Z","timestamp":1611187200000},"content-version":"vor","delay-in-days":20,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001321","name":"National Research Foundation","doi-asserted-by":"publisher","award":["89147","86329","81021"],"award-info":[{"award-number":["89147","86329","81021"]}],"id":[{"id":"10.13039\/501100001321","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>We consider compositions of <jats:italic>n<\/jats:italic> represented as bargraphs and subject these to repeated impulses which start from the left at the top level and destroy horizontally connected parts. This is repeated while moving to the right first and then downwards to the next row and the statistic of interest is the number of impulses needed to annihilate the whole composition. We achieve this by conceptualizing a generating function that tracks compositions as well as the number of impulses used. This conceptualization is repeated for words (over a finite alphabet) represented by bargraphs.<\/jats:p>","DOI":"10.1155\/2021\/8811261","type":"journal-article","created":{"date-parts":[[2021,1,21]],"date-time":"2021-01-21T15:05:16Z","timestamp":1611241516000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Impulse Propagation in Compositions and Words"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5635-6733","authenticated-orcid":false,"given":"Margaret","family":"Archibald","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2487-3220","authenticated-orcid":false,"given":"Aubrey","family":"Blecher","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9980-9744","authenticated-orcid":false,"given":"Charlotte","family":"Brennan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1962-043X","authenticated-orcid":false,"given":"Arnold","family":"Knopfmacher","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8028-2391","authenticated-orcid":false,"given":"Toufik","family":"Mansour","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2021,1,21]]},"reference":[{"key":"e_1_2_8_1_2","doi-asserted-by":"publisher","DOI":"10.2298\/aadm1701216a"},{"key":"e_1_2_8_2_2","article-title":"Counting staircases in integer compositions","volume":"11","author":"Blecher A.","year":"2016","journal-title":"Online Journal of Analytic Combinatorics"},{"key":"e_1_2_8_3_2","doi-asserted-by":"publisher","DOI":"10.7546\/nntdm.2019.25.2.181-189"},{"key":"e_1_2_8_4_2","first-page":"1","article-title":"Combinatorial parameters on bargraphs of permutations","volume":"7","author":"Mansour T.","year":"2018","journal-title":"Transactions on Combinatorics"},{"key":"e_1_2_8_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/s0196-8858(02)00553-5"},{"volume-title":"Combinatorics of Compositions and Words, Discrete Mathematics and its Applications","year":"2010","author":"Heubach S.","key":"e_1_2_8_6_2"},{"key":"e_1_2_8_7_2","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511801655"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2021\/8811261.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2021\/8811261.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2021\/8811261","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,9,4]],"date-time":"2025-09-04T12:44:48Z","timestamp":1756989888000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2021\/8811261"}},"subtitle":[],"editor":[{"given":"Sergejs","family":"Solovjovs","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2021,1]]},"references-count":7,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2021,1]]}},"alternative-id":["10.1155\/2021\/8811261"],"URL":"https:\/\/doi.org\/10.1155\/2021\/8811261","archive":["Portico"],"relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2021,1]]},"assertion":[{"value":"2020-08-26","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2020-12-18","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-01-21","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"8811261"}}