HS PROJ 2026. Old and New Ramsey

Student Leader: Harsh Poludas

Next NON-BILL meeting

Next Bill-Meeting Monday June 29, 7:00PM

zoom link for Bill-Meetings

Zoom Link passcode: 1234

zoom link for non-bill

Meeting chat link for non-bill

Meeting ID: 895 4906 6632 for non-bill

Passcode: 6b3eCH for non-bill

Part I Ramsey theory on Graphs and Hypergraphs

Infinite Ramsey Thm For Graphs

Infinite Ram on Z

Infinite to Finite

Large Ramsey Theorem

Infinite Ramsey Thm For 3-Hypergraphs

Finite 3-hypergraph Ramsey

There are no Better Bounds on 3-Hypergraph Ramsey

Two Triangles

TO DO with Two Triangles

Part II Euclidean Ramsey Theory

Intro to ERT and Chrom Numb of Plane

Unit Square and R12

C4 Ramsey. Needed for coloring R6 and getting mono U-sq

Talk. Coloring R6, getting Mono Unit Sq,

PAPER coloring R4, gettting Unit Sq

Open Problems Col on Unit Sq

Part III Coloring the integers and Grids: VDW and beyond

VDW SLIDES

Are There Better Bounds on the VDW Numbers?

Area 1