{"title":"Dominic Welsh: his work and influence","authors":"Graham Farr, Dillon Mayhew, James Oxley","doi":"arxiv-2407.18974","DOIUrl":null,"url":null,"abstract":"We review the work of Dominic Welsh (1938-2023), tracing his remarkable\ninfluence through his theorems, expository writing, students, and interactions.\nHe was particularly adept at bringing different fields together and fostering\nthe development of mathematics and mathematicians. His contributions ranged\nwidely across discrete mathematics over four main career phases: discrete\nprobability, matroids and graphs, computational complexity, and Tutte-Whitney\npolynomials. We give particular emphasis to his work in matroid theory and\nTutte-Whitney polynomials.","PeriodicalId":501462,"journal":{"name":"arXiv - MATH - History and Overview","volume":"24 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - History and Overview","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.18974","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We review the work of Dominic Welsh (1938-2023), tracing his remarkable
influence through his theorems, expository writing, students, and interactions.
He was particularly adept at bringing different fields together and fostering
the development of mathematics and mathematicians. His contributions ranged
widely across discrete mathematics over four main career phases: discrete
probability, matroids and graphs, computational complexity, and Tutte-Whitney
polynomials. We give particular emphasis to his work in matroid theory and
Tutte-Whitney polynomials.
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