The probabilistic Weisfeiler-Leman algorithm

12/24/2021
by   Saveliy V. Skresanov, et al.
0

A probabilistic version of the Weisfeiler-Leman algorithm for computing the coherent closure of a colored graph is suggested. The algorithm is Monte Carlo and runs in time O(n^1+ωlog^2 n), where n is the number of vertices of the graph and ω < 2.273 is the matrix multiplication exponent.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
05/12/2022

Bottleneck Matching in the Plane

We present an algorithm for computing a bottleneck matching in a set of ...
research
11/18/2020

Engineering a Fast Probabilistic Isomorphism Test

We engineer a new probabilistic Monte-Carlo algorithm for isomorphism te...
research
04/17/2021

Approximate Triangle Counting via Sampling and Fast Matrix Multiplication

There is a trivial O(n^3/T) time algorithm for approximate triangle coun...
research
10/18/2018

Solving Linear Programs in the Current Matrix Multiplication Time

This paper shows how to solve linear programs of the form _Ax=b,x≥0 c^ x...
research
12/24/2019

An algorithm to evaluate the spectral expansion

Assume that X is a connected (q+1)-regular undirected graph of finite or...
research
12/24/2019

Counting the geodesic cycles of a given length

Assume that X is a connected regular undirected graph of finite order n....
research
11/03/2019

Cryptanalysis of a new version of the MOR scheme

We show that an attack based on the linear decomposition method introduc...

Please sign up or login with your details

Forgot password? Click here to reset