|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
Betti numbers and
anti-lecture hall compositions of random threshold graphs
Alexander Engström, Christian Go and Matthew T. Stamps |
|
Vol. 319 (2022), No. 1, 75–98
|
Abstract |
|
We examine the one-to-one-to-one correspondence between threshold graphs, Betti numbers of quotients of polynomial rings by -linear ideals, and anti-lecture hall compositions. In particular, we establish new explicit combinatorial mappings between each of these classes of objects and calculate the expected values of the Betti numbers and anti-lecture hall composition corresponding to a random threshold graph. |
PDF Access Denied
We have not been able to recognize your IP address
3.135.190.113
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
threshold graphs, Betti numbers, anti-lecture hall
compositions
|
Mathematical Subject Classification
Primary: 05A17, 05C25, 05C80, 13D02
|
Milestones
Received: 9 September 2021
Revised: 17 April 2022
Accepted: 23 April 2022
Published: 28 August 2022
|
Authors |
| Alexander Engström | |
| Department of Mathematics Aalto University Helsinki Finland |
|
| Christian Go | |
| Department of Mathematics National University of Singapore Singapore |
|
| Matthew T. Stamps | |
| Division of Science Yale-NUS College Singapore |
|
