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Satyanarayana and Prabhakar introduced the concept of domination in order to characterize the coefficients of one such expression. This paper observes that domination can be interpreted as a partial derivative of the reliability multinomial and extends results derived for domination to the general class of expressions involving success\u2010marginal probabilities.<\/jats:p>","DOI":"10.1002\/net.3230200107","type":"journal-article","created":{"date-parts":[[2007,5,12]],"date-time":"2007-05-12T08:19:18Z","timestamp":1178957958000},"page":"65-78","source":"Crossref","is-referenced-by-count":6,"title":["Directed network reliability: Domination and computing coefficients of the success\u2010marginal expansion"],"prefix":"10.1002","volume":"20","author":[{"given":"Jane Nichols","family":"Hagstrom","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,10,11]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"crossref","unstructured":"R. E.Barlow Set theoretic signed domination for coherent systems. Technical Report 82\u20101 Operations Research Center University of California Berkeley (1982)14pp.","DOI":"10.21236\/ADA112699"},{"key":"e_1_2_1_3_2","volume-title":"Class Notes","author":"Barlow R. E.","year":"1985"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1017\/S0269964800000164"},{"key":"e_1_2_1_5_2","volume-title":"Statistical Theory of Reliability and Life Testing","author":"Barlow R. E.","year":"1975"},{"key":"e_1_2_1_6_2","first-page":"581","volume-title":"Multivariate Analysis II: Proceedings of the Second International Symposium on Multivariate Analysis, Dayton, Ohio, 1968","author":"Birnbaum Z. 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