๐ง ๐๐๐ป ๐ถ๐ป๐๐ฟ๐ผ๐ฑ๐๐ฐ๐๐ถ๐ผ๐ป ๐๐ผ ๐ด๐ฟ๐ฎ๐ฝ๐ต ๐๐ต๐ฒ๐ผ๐ฟ๐๐โก
by Darij Grinberg; (Text for Math 530 in Spring 2022 at Drexel University). The website of this course and 272-page PDF at
https://www.cip.ifi.lmu.de/~grinberg/t/22s . ๐๐๐๐๐ ๐๐ ๐ฒ๐๐๐๐๐๐๐:
โ๏ธSimple graphs
โ๏ธMultigraphs
โ๏ธDigraphs and multidigraphs
โ๏ธTrees and arborescences
โ๏ธColorings
โ๏ธIndependent sets
โ๏ธMatchings
โ๏ธNetworks and flows
โ๏ธMore about paths
๐๐๐ฏ๐๐๐ฟ๐ฎ๐ฐ๐: This is a graduate-level introduction to graph theory, corresponding to a quarter-long course. It covers simple graphs, multigraphs as well as their directed analogues, and more restrictive classes such as tournaments, trees and arborescences. Among the features discussed are Eulerian circuits, Hamiltonian cycles, spanning trees, the matrix-tree and BEST theorems, proper colorings, Turanโs theorem, bipartite matching and the Menger and GallaiโโโMilgram theorems. The basics of network flows are introduced in order to prove Hallโs marriage theorem.
๐ง ๐ใๅพ็่ฎบไป็ปใ๐โกไฝ่ ๏ผ่พพ้ยทๆ ผๆไผฏๆ ผ; (ๅพท้ทๅกๅฐๅคงๅญฆ2022ๅนดๆฅๅญฃๆฐๅญฆ 530 ่ฏพๆ). ๆฌ่ฏพ็จ็ฝ็ซๅ272้กตไพฟๆบๆๆกฃๅจhttps://www.cip.ifi.lmu.de/~grinberg/t/22sใ็ฎๅฝ:
โ๏ธ็ฎๅๅพ
โ๏ธๅคๅพ
โ๏ธๆๅๅพๅๅคๅๅพ
โ๏ธๆ ๅๅชๆ
โ๏ธ็่ฒ
โ๏ธ็ฌ็ซ้ๅ
โ๏ธๅน้
โ๏ธ็ฝๅๆต
โ๏ธๆๅ ณ่ทฏๅพ็ๆดๅคไฟกๆฏ
๐ๆ่ฆ๏ผ่ฟๆฏๅฏนๅพ่ฎบ็็ ็ฉถ็็บงไป็ป๏ผๅฏนๅบไบๅๅไนไธ้ฟ็่ฏพ็จใๅฎๆถต็ไบ็ฎๅๅพใๅคๅพไปฅๅๅฎไปฌ็ๅฎๅ็ฑปไผผ็ฉ๏ผไปฅๅๆดไธฅๆ ผ็็ฑป๏ผๅฆ้ฆๆ ่ตใๆ ๅๅชๆใ่ฎจ่ฎบ็็นๅพๅ ๆฌๆฌงๆๅ่ทฏใๅๅฏ้กฟๅพช็ฏใ็ๆๆ ใ็ฉ้ตๆ ๅๆไฝณๅฎ็ใ็่ฒใๅพๅ ฐๅฎ็ใไบๅๅน้ ไปฅๅ้จๆ ผๅฐๅๅ ่ฑ-็ฑณๅฐๆ ผๆๅงๅฎ็ใไธบ่ฏๆ้ๅฐๅฉๅงปๅฎ็๏ผๅผๅ ฅ็ฝ็ปๆต็ๅบ็ก็ฅ่ฏใ
Credit: Darij Grinberg. Share & Translate: Chinou Gea (็งฆ้็บช) @2023, DSS-SDC, or SDIS-SM, IFS-AHSC. Data Simplicity Community Facebook Group https://m.facebook.com/groups/290760182638656/ #Mathematics #Analytics #DataScience #DataComputing #DataSimp #computer #program #IT #AI #graphs #trees #networks #flows