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What are proper and improper subgraphs? We'll go over definitions and examples in today's video graph theory lesson. Given a graph G, a subgraph H of G is a graph whose vertices and edges are also vertices and edges of G. If H = G, then H is an improper subgraph of G. If H is not equal to G - meaning that G has some vertices and/or edges that H does not - then H is a proper subgraph of G. Lesson on subgraphs: • What is a Subgraph? | Graph Theory I hope you find this video helpful, and be sure to ask any questions down in the comments! ******************************************************************** The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work. Vallow Bandcamp: https://vallow.bandcamp.com/ Vallow Spotify: https://open.spotify.com/artist/0fRtu... Vallow SoundCloud: / benwatts-3 ******************************************************************** +WRATH OF MATH+ ◆ Support Wrath of Math on Patreon: / wrathofmathlessons Follow Wrath of Math on... ● Instagram: / wrathofmathedu ● Facebook: / wrathofmath ● Twitter: / wrathofmathedu My Music Channel: / seanemusic