{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T02:16:21Z","timestamp":1740104181452,"version":"3.37.3"},"reference-count":28,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2017,9,12]],"date-time":"2017-09-12T00:00:00Z","timestamp":1505174400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Graph Theory"],"published-print":{"date-parts":[[2018,5]]},"abstract":"Abstract<\/jats:title>For a sequence d<\/jats:italic> of nonnegative integers, let and be the sets of all graphs and forests with degree sequence d<\/jats:italic>, respectively. Let , , , and where is the domination number and is the independence number of a graph G<\/jats:italic>. Adapting results of Havel and Hakimi, Rao showed in 1979 that can be determined in polynomial time. We establish the existence of realizations with , and with and that have strong structural properties. This leads to an efficient algorithm to determine for every given degree sequence d<\/jats:italic> with bounded entries as well as closed formulas for and .<\/jats:p>","DOI":"10.1002\/jgt.22189","type":"journal-article","created":{"date-parts":[[2017,9,12]],"date-time":"2017-09-12T07:06:48Z","timestamp":1505200008000},"page":"131-145","source":"Crossref","is-referenced-by-count":4,"title":["Smallest domination number and largest independence number of graphs and forests with given degree sequence"],"prefix":"10.1002","volume":"88","author":[{"given":"Michael","family":"Gentner","sequence":"first","affiliation":[{"name":"Institute of Optimization and Operations Research Ulm University Ulm Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8185-067X","authenticated-orcid":false,"given":"Michael A.","family":"Henning","sequence":"additional","affiliation":[{"name":"Department of Pure and Applied Mathematics University of Johannesburg Auckland Park 2006 South Africa"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7214-042X","authenticated-orcid":false,"given":"Dieter","family":"Rautenbach","sequence":"additional","affiliation":[{"name":"Institute of Optimization and Operations Research Ulm University Ulm Germany"}]}],"member":"311","published-online":{"date-parts":[[2017,9,12]]},"reference":[{"key":"e_1_2_5_2_1","first-page":"75","article-title":"Best monotone degree bounds for various graph parameters","volume":"192","author":"Bauer D.","year":"2008","journal-title":"Congr. 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