Compact Euler Tours of Trees with Small Maximum Degree

05/11/2021
by   Travis Gagie, et al.
0

We show how an Euler tour for a tree on n vertices with maximum degree d can be stored in 2 n + o (n) bits such that queries take O (log n) time and updates take O (d log^1 + ϵ n) time.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
05/26/2022

The Babylonian Graph

The Babylonian graph B has the positive integers as vertices and connect...
research
06/07/2022

Sharp L^1-Approximation of the log-Heston SDE by Euler-type methods

We study the L^1-approximation of the log-Heston SDE at equidistant time...
research
08/19/2019

Continuous Toolpath Planning in Additive Manufacturing

We develop a framework that creates a new polygonal mesh representation ...
research
12/06/2018

Euler Transformation of Polyhedral Complexes

We propose an Euler transformation that transforms a given d-dimensional...
research
03/21/2016

Nearest Points on Toric Varieties

We determine the Euclidean distance degree of a projective toric variety...
research
08/08/2022

MSO Queries on Trees: Enumerating Answers under Updates Using Forest Algebras

We describe a framework for maintaining forest algebra representations o...
research
03/28/2021

Euler Meets GPU: Practical Graph Algorithms with Theoretical Guarantees

The Euler tour technique is a classical tool for designing parallel grap...

Please sign up or login with your details

Forgot password? Click here to reset