{"id":112,"date":"2021-09-21T15:42:09","date_gmt":"2021-09-21T15:42:09","guid":{"rendered":"https:\/\/onlineacademiccommunity.uvic.ca\/seaogden\/?page_id=112"},"modified":"2025-04-23T17:05:17","modified_gmt":"2025-04-23T17:05:17","slug":"publications","status":"publish","type":"page","link":"https:\/\/onlineacademiccommunity.uvic.ca\/seaogden\/research\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"<div class=\"page\" title=\"Page 8\">\n<div class=\"layoutArea\">\n<div class=\"column\">\n<p><a href=\"https:\/\/arxiv.org\/abs\/2410.24130\" target=\"_blank\" rel=\"noopener\">Using polynomials to find lower bounds for r-bond bootstrap percolation<\/a><br \/>\n<em style=\"font-size: 1rem\">Submitted<\/em><strong style=\"font-size: 1rem\">\u00a0<\/strong><span style=\"font-size: 1rem\">(2025+)<\/span><br \/>\n<span style=\"font-size: 1rem\">With Natasha Morrison<\/span><\/p>\n<p><a href=\"https:\/\/arxiv.org\/abs\/2404.10663\" target=\"_blank\" rel=\"noopener\">A Note on the Invertibility of Oriented Graphs<\/a><br \/>\n<i>The Electronic Journal of Combinatorics <\/i><strong>32(1)\u00a0<\/strong>(2025)<br \/>\n<span style=\"font-size: 1rem\">With Natalie Behague, Tom Johnston, and Natasha Morrison<\/span><\/p>\n<p><a href=\"https:\/\/arxiv.org\/abs\/2211.08589\" target=\"_blank\" rel=\"noopener\">The Rainbow Saturation Number is Linear<\/a><br \/>\n<em style=\"font-size: 1rem\">SIAM Journal on Discrete Mathematics<\/em><strong style=\"font-size: 1rem\"> 38(2) <\/strong><span style=\"font-size: 1rem\">(2024)<\/span><br \/>\n<span style=\"font-size: 1rem\">With Natalie Behague, Tom Johnston, Shoham Letzter, and Natasha Morrison<\/span><\/p>\n<p><a href=\"https:\/\/dspace.library.uvic.ca\/bitstream\/handle\/1828\/15290\/Ogden_Shannon_MSc_2023.pdf?sequence=3&amp;isAllowed=y\" target=\"_blank\" rel=\"noopener\">Saturation Problems on Graphs<\/a><br \/>\n<em style=\"font-size: 1rem\">UVicSpace Electronic Theses and Dissertations\u00a0<\/em><span style=\"font-size: 1rem\">(2023)<\/span><\/p>\n<p><a href=\"https:\/\/arxiv.org\/abs\/2002.01347\" target=\"_blank\" rel=\"noopener\">Total Roman domination edge-supercritical and edge-removal-supercritical graphs<\/a><br \/>\n<em style=\"font-size: 1rem\">Australasian Journal of Combinatorics <\/em><strong style=\"font-size: 1rem\">78(3) <\/strong><span style=\"font-size: 1rem\">(2020), 413-433<\/span><br \/>\n<span style=\"font-size: 1rem\">With Kieka Mynhardt<\/span><\/p>\n<\/div>\n<p><a href=\"https:\/\/dspace.library.uvic.ca\/bitstream\/handle\/1828\/11815\/Ogden_Shannon_JCURA_2020.pdf?sequence=1&amp;isAllowed=y\" target=\"_blank\" rel=\"noopener\">Total Roman domination edge-supercritical and edge-removal-supercritical graphs<\/a><br \/>\n<em>JCURA Poster Collection<\/em> (2020)<\/p>\n<\/div>\n<\/div>\n<div class=\"page\" title=\"Page 8\">\n<div class=\"layoutArea\">\n<div class=\"column\">\n<div class=\"page\" title=\"Page 8\">\n<div class=\"layoutArea\">\n<div class=\"page\" title=\"Page 9\">\n<div class=\"layoutArea\">\n<div class=\"column\">\n<p><a href=\"https:\/\/arxiv.org\/abs\/1907.08639\" target=\"_blank\" rel=\"noopener\">Total Roman domination edge-critical graphs<\/a><br \/>\n<em>Involve<\/em> <strong>12(8)<\/strong> (2019), 1423-1439<br \/>\nWith Chloe Lampman and Kieka Mynhardt<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Using polynomials to find lower bounds for r-bond bootstrap percolation Submitted\u00a0(2025+) With Natasha Morrison A Note on the Invertibility of Oriented Graphs The Electronic Journal of Combinatorics 32(1)\u00a0(2025) With Natalie Behague, Tom Johnston, and Natasha Morrison The Rainbow Saturation Number is Linear SIAM Journal on Discrete Mathematics 38(2) (2024) With Natalie Behague, Tom Johnston, Shoham &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/onlineacademiccommunity.uvic.ca\/seaogden\/research\/publications\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Publications&#8221;<\/span><\/a><\/p>\n","protected":false},"author":15404,"featured_media":0,"parent":12,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-112","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/onlineacademiccommunity.uvic.ca\/seaogden\/wp-json\/wp\/v2\/pages\/112","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/onlineacademiccommunity.uvic.ca\/seaogden\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/onlineacademiccommunity.uvic.ca\/seaogden\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/onlineacademiccommunity.uvic.ca\/seaogden\/wp-json\/wp\/v2\/users\/15404"}],"replies":[{"embeddable":true,"href":"https:\/\/onlineacademiccommunity.uvic.ca\/seaogden\/wp-json\/wp\/v2\/comments?post=112"}],"version-history":[{"count":13,"href":"https:\/\/onlineacademiccommunity.uvic.ca\/seaogden\/wp-json\/wp\/v2\/pages\/112\/revisions"}],"predecessor-version":[{"id":323,"href":"https:\/\/onlineacademiccommunity.uvic.ca\/seaogden\/wp-json\/wp\/v2\/pages\/112\/revisions\/323"}],"up":[{"embeddable":true,"href":"https:\/\/onlineacademiccommunity.uvic.ca\/seaogden\/wp-json\/wp\/v2\/pages\/12"}],"wp:attachment":[{"href":"https:\/\/onlineacademiccommunity.uvic.ca\/seaogden\/wp-json\/wp\/v2\/media?parent=112"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}