{"id":570,"date":"2019-04-06T09:50:41","date_gmt":"2019-04-06T07:50:41","guid":{"rendered":"http:\/\/7demates.epsem.upc.edu\/?p=570"},"modified":"2019-04-06T09:50:41","modified_gmt":"2019-04-06T07:50:41","slug":"ponts-i-camins","status":"publish","type":"post","link":"https:\/\/7demates.upc.edu\/index.php\/2019\/04\/06\/ponts-i-camins\/","title":{"rendered":"Ponts i camins"},"content":{"rendered":"<p><span lang=\"CA\">La sessi\u00f3 del 7deMates del 16 de febrer ha comen\u00e7at intentant resoldre el cl\u00e0ssic problema dels ponts de K\u00f6nigsberg.\u00a0\u00a0A trav\u00e9s de l\u2019experimentaci\u00f3 en diversos grafs, hem descobert el criteri que ens permet decidir si podem rec\u00f3rrer el graf seguint un cam\u00ed d\u2019Euler. A trav\u00e9s de la resoluci\u00f3 de problemes tamb\u00e9 hem treballat els conceptes de grau d\u2019un v\u00e8rtex, d\u2019arestes i n\u2019hem estudiat la relaci\u00f3 amb el lema de les encaixades de mans.<\/span><\/p>\n<p><span lang=\"CA\">Tot plegat ens ha perm\u00e8s endinsar-nos per primera vegada en el m\u00f3n de la teoria de grafs.<\/span><\/p>\n<div id='gallery-1' class='gallery galleryid-570 gallery-columns-2 gallery-size-medium'><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/7demates.upc.edu\/index.php\/2019\/04\/06\/ponts-i-camins\/foto-4\/'><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"225\" src=\"https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-4-300x225.png\" class=\"attachment-medium size-medium\" alt=\"\" srcset=\"https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-4-300x225.png 300w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-4-1024x768.png 1024w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-4-768x576.png 768w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-4-1536x1152.png 1536w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-4-600x450.png 600w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-4.png 1600w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/7demates.upc.edu\/index.php\/2019\/04\/06\/ponts-i-camins\/foto-3\/'><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"225\" src=\"https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-3-300x225.jpg\" class=\"attachment-medium size-medium\" alt=\"\" srcset=\"https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-3-300x225.jpg 300w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-3-1024x768.jpg 1024w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-3-768x576.jpg 768w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-3-1536x1152.jpg 1536w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-3-600x450.jpg 600w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-3.jpg 1600w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/7demates.upc.edu\/index.php\/2019\/04\/06\/ponts-i-camins\/foto-2\/'><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"225\" src=\"https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-2-300x225.jpg\" class=\"attachment-medium size-medium\" alt=\"\" srcset=\"https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-2-300x225.jpg 300w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-2-1024x768.jpg 1024w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-2-768x576.jpg 768w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-2-1536x1152.jpg 1536w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-2-600x450.jpg 600w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-2.jpg 1600w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/7demates.upc.edu\/index.php\/2019\/04\/06\/ponts-i-camins\/foto-1\/'><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"225\" src=\"https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-1-300x225.png\" class=\"attachment-medium size-medium\" alt=\"\" srcset=\"https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-1-300x225.png 300w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-1-1024x768.png 1024w, 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trav\u00e9s<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2,3],"tags":[],"class_list":["post-570","post","type-post","status-publish","format-standard","hentry","category-curs-2018-2019","category-noticies"],"_links":{"self":[{"href":"https:\/\/7demates.upc.edu\/index.php\/wp-json\/wp\/v2\/posts\/570","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/7demates.upc.edu\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/7demates.upc.edu\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/7demates.upc.edu\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/7demates.upc.edu\/index.php\/wp-json\/wp\/v2\/comments?post=570"}],"version-history":[{"count":0,"href":"https:\/\/7demates.upc.edu\/index.php\/wp-json\/wp\/v2\/posts\/570\/revisions"}],"wp:attachment":[{"href":"https:\/\/7demates.upc.edu\/index.php\/wp-json\/wp\/v2\/media?parent=570"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/7demates.upc.edu\/index.php\/wp-json\/wp\/v2\/categories?post=570"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/7demates.upc.edu\/index.php\/wp-json\/wp\/v2\/tags?post=570"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}