<span class="cf0">Outerplanar graphs with positive Lin-Lu-Yau curvature</span>

In this paper, we show that all simple outerplanar graphs G with minimum degree at least 2 and positive Lin–Lu–Yau Ricci curvature on every edge have maximum degree at most 9. Furthermore, if G is maximally outerplanar, then G has at most 10 vertices. Both upper bounds are sharp.

Authors

Fadekemi Osaye
Anna Schenfisch (ORCID: https://orcid.org/0000-0003-2546-5333)
Zhiyu Wang (ORCID: https://orcid.org/0000-0003-2604-3108)
Jing Yu
George Brooks

Institutions

Louisiana State University (US)
Troy University (US)
University of South Carolina (US)
Fudan University (CN)
Eindhoven University of Technology (NL)

Publication Details

Journal: Journal of Combinatorics
Published: 2025-01-01
DOI: https://doi.org/10.4310/joc.250923000902
Primary Topic: Homotopy and Cohomology in Algebraic Topology
Type: article
Field-Weighted Citation Impact: 0.00

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article

<span class="cf0">Outerplanar graphs with positive Lin-Lu-Yau curvature</span>

Fadekemi Osaye, Anna Schenfisch, Zhiyu Wang, Jing Yu et al.

Jan 1, 2025

Journal of Combinatorics

Homotopy and Cohomology in Algebraic Topology

article

<span class="cf0">Outerplanar graphs with positive Lin-Lu-Yau curvature</span>

Fadekemi Osaye, Anna Schenfisch, Zhiyu Wang, Jing Yu, George Brooks

January 1, 2025article en

Abstract

In this paper, we show that all simple outerplanar graphs G with minimum degree at least 2 and positive Lin–Lu–Yau Ricci curvature on every edge have maximum degree at most 9. Furthermore, if G is maximally outerplanar, then G has at most 10 vertices. Both upper bounds are sharp.

Journal of CombinatoricsVol. 16(4)

Louisiana State University (US), Troy University (US), University of South Carolina (US), Fudan University (CN), Eindhoven University of Technology (NL)

Openalex Percentile: Top 68%

Homotopy and Cohomology in Algebraic Topology

DOI Source OpenAlex

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<span class="cf0">Outerplanar graphs with positive Lin-Lu-Yau curvature</span> — Fadekemi Osaye, Anna Schenfisch, et al. · Journal of Combinatorics (2025) | TGRS Research Map | TGRS