{"id":12356,"date":"2019-11-08T11:41:30","date_gmt":"2019-11-08T08:41:30","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/en\/?page_id=12356"},"modified":"2019-12-06T15:11:14","modified_gmt":"2019-12-06T12:11:14","slug":"problem-of-the-month-november-2019","status":"publish","type":"page","link":"https:\/\/w3.bilkent.edu.tr\/en\/problem-of-the-month-november-2019\/","title":{"rendered":"Problem of the Month \u2013 November 2019"},"content":{"rendered":"<p>In a country between any two cities there is a direct round flight operated by only one of<br \/>\nr \u2265 3 air companies. Suppose that only by using of flights of any of these r companies<br \/>\nit is possible to visit any city from any other city (directly or by using of several flights).<br \/>\nProve that there are three cities such that direct flights between them are operated by<br \/>\nthree different companies.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Correct Solution by,<\/strong><\/p>\n<ul>\n<li>Toshihiro Shimizu, Kawasaki, Japan<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul>\n<li><strong>Solution:\u00a0<\/strong><a href=\"http:\/\/www.fen.bilkent.edu.tr\/~cvmath\/Problem\/1911a.pdf\">http:\/\/www.fen.bilkent.edu.tr\/~cvmath\/Problem\/1911a.pdf<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>In a country between any two cities there is a direct round flight operated by only one of r \u2265 3 air companies. Suppose that only by using of flights of any of these r companies it is possible to visit any city from any other city (directly or by [\u2026] <\/p>\n<div class=\"clear\"><\/div>\n<p><a class=\"more_link clearfix\" href=\"https:\/\/w3.bilkent.edu.tr\/en\/problem-of-the-month-november-2019\/\" rel=\"nofollow\">Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-12356","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/pages\/12356","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/comments?post=12356"}],"version-history":[{"count":4,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/pages\/12356\/revisions"}],"predecessor-version":[{"id":12603,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/pages\/12356\/revisions\/12603"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/media?parent=12356"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}