Vol. 10, No. 1, 2017

Download this article
Download this article For screen
For printing
Recent Issues

Volume 13
Issue 3, 361–539
Issue 2, 181–360
Issue 1, 1–180

Volume 12, 8 issues

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 5 issues

Volume 7, 6 issues

Volume 6, 4 issues

Volume 5, 4 issues

Volume 4, 4 issues

Volume 3, 4 issues

Volume 2, 5 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editors’ Interests
Scientific Advantages
Submission Guidelines
Submission Form
Ethics Statement
Editorial Login
ISSN: 1944-4184 (e-only)
ISSN: 1944-4176 (print)
Author Index
Coming Soon
Other MSP Journals
This article is available for purchase or by subscription. See below.
The lifting of graphs to 3-uniform hypergraphs and some applications to hypergraph Ramsey theory

Mark Budden, Josh Hiller, Joshua Lambert and Chris Sanford

Vol. 10 (2017), No. 1, 65–76

Given a simple graph Γ, we describe a “lifting” to a 3-uniform hypergraph φ(Γ) that sends the complement of Γ to the complement of φ(Γ). We consider the effects of this lifting on cycles, complete subhypergraphs, and complete subhypergraphs missing a single hyperedge. Our results lead to natural lower bounds for some hypergraph Ramsey numbers.

PDF Access Denied

However, your active subscription may be available on Project Euclid at

We have not been able to recognize your IP address 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 30.00:

cliques, Ramsey number, Turán graphs
Mathematical Subject Classification 2010
Primary: 05C65, 05C55
Secondary: 05C35
Received: 16 August 2015
Revised: 2 December 2015
Accepted: 13 December 2015
Published: 11 October 2016

Communicated by Joshua Cooper
Mark Budden
Department of Mathematics and Computer Science
Western Carolina University
Cullowhee, NC 28723
United States
Josh Hiller
Department of Mathematics
PO Box 118105
University of Florida
Gainesville, FL 32611
United States
Joshua Lambert
Department of Mathematics
Armstrong Atlantic State University
11935 Abercorn Street
Savannah, GA 31419
United States
Chris Sanford
Department of Mathematics
Syracuse University
Syracuse, NY 13244
United States