This article is available for purchase or by subscription. See below.
Abstract
|
We establish the complexity of recognizing
-distance
graphs and estimating the chromatic number of the real line with a set of forbidden distances
, where
the set
is
a collection of elements of a geometric progression with the common
ratio equal to a rational number raised to a rational power. For all
sets of
this type we have found the chromatic number of the real line with this set of forbidden
distances and proved whether the problem of recognizing nonstrictly noninjectively
-embeddable-in-
graphs is polynomial or NP-hard.
|
PDF Access Denied
We have not been able to recognize your IP address
3.141.198.113
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
distance graph, chromatic number, computation complexity
|
Mathematical Subject Classification
Primary: 05C15, 68Q17
|
Milestones
Received: 7 July 2023
Accepted: 7 August 2023
Published: 23 September 2023
|
© 2023 MSP (Mathematical Sciences
Publishers). |
|