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1,213 claims from 764 papers are on the record. 45 have been checked so far; the other 1,168 have no check with a result yet.

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Keyword: unit distance graphs ×Clear all

2 claims from 2 papers

1. Computer Science › Advanced Graph Theory Research

   Computing Small Unit-Distance Graphs with Chromatic Number 5

   Heule · arXiv (Cornell University) · 2018

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   1. Supported · 71%“Our method, which is based on clausal proof minimization, allowed us to compute several 553-vertex unit-distance graphs with chromatic number 5, while the smallest published unit-distance graph with chromatic number 5 has 1581 vertices.”

2. Computer Science › Constraint Satisfaction and Optimization

   Trimming Graphs Using Clausal Proof Optimization

   Heule · Lecture notes in computer science · 2019

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   1. Supported · 71%“We applied this method to reduce the smallest known unit-distance graph with chromatic number 5 from 553 vertices and 2720 edges to 529 vertices and 2670 edges.”