Edge pancyclic derangement graphs

Published 13 Jul 2022 in math.CO | (2207.06466v1)

Abstract: We consider the derangement graph in which the vertices are permutations of ${ 1,\ldots, n}$. Two vertices are joined by an edge if the corresponding permutations differ in every position. The derangement graph is known to be Hamiltonian and Hamilton-connected. In this note, we show that the derangement graph is edge pancyclic if $n\ge 4$.

Abstract PDF Upgrade to Chat

Authors (3)

Summary

No one has generated a summary of this paper yet.

Sign Up to Summarize

Paper to Video (Beta)

No one has generated a video about this paper yet.

Sign Up to Generate All Videos Subscribe on YouTube

Whiteboard

No one has generated a whiteboard explanation for this paper yet.

Sign Up to Generate

Paper Prompts

Sign up for free to create and run prompts on this paper using GPT-5.

Top Community Prompts

Explain it Like I'm 14

Practical Applications

Conceptual Simplification

Sign Up to Activate View All Prompts

Open Problems

We haven't generated a list of open problems mentioned in this paper yet.

Continue Learning

We haven't generated follow-up questions for this paper yet.

Collections

Sign up for free to add this paper to one or more collections.