Minimal bricks have many vertices of small degree

2012/10/15 by Henning Bruhn, Bruhn, Henning, Maya Stein +1
Computer Science · Mathematics · #05C70 #Advanced Graph Theory Research #Advanced Topology and Set Theory #Combinatorics (math.CO) #FOS: Mathematics #Limits and Structures in Graph Theory #math.CO #msc:05C70

paper · pdf · doi:10.48550/arxiv.1210.4180

12 pages

arxiv created 2012/10/15 · openalex publication_date 2012/10/15 · arxiv updated 2012/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that every minimal brick on n vertices has at least n/9 vertices of degree at most 4.

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