Seminars & Colloquia Calendar

Download as iCal file

Discrete Math

The H-space of a random graph

Speaker: Quentin Dubroff

Location:  Hill 705
Date & time: Monday, 20 November 2023 at 2:00PM - 3:00PM

Abstract:  The edge space of a graph G is the vector space of functions from E(G) to F_2 (the two-element field) with members naturally identified with subgraphs of G, and the H-space is the subspace spanned by copies of the graph H. We are interested in understanding when the random graph is likely to have the most generic possible H-space. For example, if H is a triangle, we want to know when it is likely that every cycle is in the H-space (i.e. when the triangle space is likely the same as the cycle space). We give an essentially complete answer for strictly 2-balanced graphs, showing that a simple necessary condition in fact characterizes when the H-space is as generic as possible. Joint with Jeff Kahn.

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.