Every 2-connected, cubic, planar graph with faces of size at most 6 is Hamiltonian
Fuente:
arXiv
Guardado en:
| Autores principales: | Shao, Sihong, Wu, Yuxuan |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
Ejemplares similares
Eulerian-spanning set and coboundary operator: An investigation of maxcut beyond planar graphs
por: Fang, Qiming, et al.
Publicado: (2026)
por: Fang, Qiming, et al.
Publicado: (2026)
4-connected 1-planar chordal graphs are Hamiltonian-connected
por: Zhang, Licheng, et al.
Publicado: (2024)
por: Zhang, Licheng, et al.
Publicado: (2024)
A note on cycles in cyclically $4$-edge-connected cubic planar graphs
por: Lo, On-Hei Solomon
Publicado: (2026)
por: Lo, On-Hei Solomon
Publicado: (2026)
Two classes of connectivity-related non-Hamiltonian 1-planar perfect graphs
por: Zhang, Licheng, et al.
Publicado: (2024)
por: Zhang, Licheng, et al.
Publicado: (2024)
Dense $2$-connected planar graphs and the planar Turán number of $2C_k$
por: Li, Ping
Publicado: (2025)
por: Li, Ping
Publicado: (2025)
Every connected subcubic graph except the Petersen graph is packing $(1,1,2,2)$-colorable
por: Hou, Xinmin, et al.
Publicado: (2026)
por: Hou, Xinmin, et al.
Publicado: (2026)
Every $3$-connected $\{K_{1,3},Γ_3\}$-free graph is Hamilton-connected
por: Kabela, Adam, et al.
Publicado: (2024)
por: Kabela, Adam, et al.
Publicado: (2024)
Between proper and square colorings of planar graphs with maximum degree at most four
por: Liu, Xujun, et al.
Publicado: (2026)
por: Liu, Xujun, et al.
Publicado: (2026)
On 2-distance 16-coloring of planar graphs with maximum degree at most five
por: Deniz, Zakir
Publicado: (2023)
por: Deniz, Zakir
Publicado: (2023)
Ore's Theorem for rainbow Hamiltonian-connected graphs
por: Li, Yupei, et al.
Publicado: (2025)
por: Li, Yupei, et al.
Publicado: (2025)
The number of cut-edges and conflict-free connection number in planar graphs
por: Ha, Pham Hoang, et al.
Publicado: (2026)
por: Ha, Pham Hoang, et al.
Publicado: (2026)
The maximum number of $k$-cliques of 7-connected 1-planar graphs
por: Huang, Yuanqiu, et al.
Publicado: (2026)
por: Huang, Yuanqiu, et al.
Publicado: (2026)
Equivalent spectral theory for fundamental graph cut problems
por: Shao, Sihong, et al.
Publicado: (2024)
por: Shao, Sihong, et al.
Publicado: (2024)
Every graph with no $K_7^{\vee}$-minor is $6$-colorable
por: Norin, Sergey, et al.
Publicado: (2025)
por: Norin, Sergey, et al.
Publicado: (2025)
Hamiltonian connectivity of some base-cobase graphs
por: Martínez-Sandoval, Leonardo, et al.
Publicado: (2025)
por: Martínez-Sandoval, Leonardo, et al.
Publicado: (2025)
Every 3-connected $\{K_{1,4},K_{1,4}+e\}$-free split graph of order at least 13 is Hamilton-connected
por: Tian, Tao, et al.
Publicado: (2026)
por: Tian, Tao, et al.
Publicado: (2026)
Pancyclicity of almost-planar graphs
por: Adams, Santiago T., et al.
Publicado: (2024)
por: Adams, Santiago T., et al.
Publicado: (2024)
Bouchet's conjecture for cyclically 5-edge-connected, cubic signed graphs
por: Nurse, Kathryn
Publicado: (2026)
por: Nurse, Kathryn
Publicado: (2026)
A High-Dimensional Extension of Wagner's Theorem and the Geometrization of Hypergraphs
por: Fang, Qiming, et al.
Publicado: (2025)
por: Fang, Qiming, et al.
Publicado: (2025)
Every connected graph admits a local antimagic orientation and almost every graph admits an antimagic orientation
por: Dhananjaya, Eranda, et al.
Publicado: (2024)
por: Dhananjaya, Eranda, et al.
Publicado: (2024)
Near-perfect matchings in highly connected 1-planar graphs with a local crossing constraint
por: Ouyang, Licheng Zhang Yuanqiu Huang Zhangdong
Publicado: (2026)
por: Ouyang, Licheng Zhang Yuanqiu Huang Zhangdong
Publicado: (2026)
$2$-limited broadcast domination in cubic graphs
por: Choi, Myungho, et al.
Publicado: (2026)
por: Choi, Myungho, et al.
Publicado: (2026)
Normal 6-edge-colorings of cubic graphs with oddness 2
por: Fabrici, Igor, et al.
Publicado: (2025)
por: Fabrici, Igor, et al.
Publicado: (2025)
4K_1 free graphs on 13 vertices have cop number at most 2
por: Wu, Zhaoyu
Publicado: (2026)
por: Wu, Zhaoyu
Publicado: (2026)
$λ$-matchability in cubic graphs
por: Raghul, Santhosh, et al.
Publicado: (2025)
por: Raghul, Santhosh, et al.
Publicado: (2025)
Nice vertices in cubic graphs
por: Chen, Wuxian, et al.
Publicado: (2025)
por: Chen, Wuxian, et al.
Publicado: (2025)
Cayley graphs of order 6pq are Hamiltonian
por: Maghsoudi, Farzad
Publicado: (2020)
por: Maghsoudi, Farzad
Publicado: (2020)
On the girth and connectivity of cubic graphs with a unique longest cycle
por: Jooken, Jorik, et al.
Publicado: (2024)
por: Jooken, Jorik, et al.
Publicado: (2024)
Every signed planar graph is $5$-choosable: A short proof and refinements
por: Atangana, Pie Desire Ebode, et al.
Publicado: (2026)
por: Atangana, Pie Desire Ebode, et al.
Publicado: (2026)
A note on optimal 2-planar graphs
por: Zhang, Licheng, et al.
Publicado: (2025)
por: Zhang, Licheng, et al.
Publicado: (2025)
Every subcubic graph is packing $(1,1,2,2,3)$-colorable
por: Liu, Xujun, et al.
Publicado: (2024)
por: Liu, Xujun, et al.
Publicado: (2024)
Hilbert basis in the face-centered cubic grid -- mathematical proofs
por: Vizvari, Bela, et al.
Publicado: (2025)
por: Vizvari, Bela, et al.
Publicado: (2025)
Largest planar graphs of diameter $3$ and fixed maximum degree -- connection with fractional matchings
por: Dailly, Antoine, et al.
Publicado: (2025)
por: Dailly, Antoine, et al.
Publicado: (2025)
On $2$-factors of Hamiltonian graphs
por: Díaz, Alberto Espuny, et al.
Publicado: (2026)
por: Díaz, Alberto Espuny, et al.
Publicado: (2026)
A note on the multicolor size-Ramsey numbers of connected graphs
por: DeBiasio, Louis
Publicado: (2024)
por: DeBiasio, Louis
Publicado: (2024)
Connected triangle-free planar graphs whose second largest eigenvalue is at most 1
por: Cheng, Kun, et al.
Publicado: (2024)
por: Cheng, Kun, et al.
Publicado: (2024)
Small planar hypohamiltonian graphs
por: Tsai, Cheng-Chen
Publicado: (2024)
por: Tsai, Cheng-Chen
Publicado: (2024)
The Hamiltonian properties of rectangular meshes with at most two faulty nodes
por: Xie, Yingtai
Publicado: (2025)
por: Xie, Yingtai
Publicado: (2025)
Group distance magic cubic graphs
por: Cichacz, Sylwia, et al.
Publicado: (2025)
por: Cichacz, Sylwia, et al.
Publicado: (2025)
On cubic rainbow domination regular graphs
por: Kuzman, Bostjan
Publicado: (2024)
por: Kuzman, Bostjan
Publicado: (2024)
Ejemplares similares
-
Eulerian-spanning set and coboundary operator: An investigation of maxcut beyond planar graphs
por: Fang, Qiming, et al.
Publicado: (2026) -
4-connected 1-planar chordal graphs are Hamiltonian-connected
por: Zhang, Licheng, et al.
Publicado: (2024) -
A note on cycles in cyclically $4$-edge-connected cubic planar graphs
por: Lo, On-Hei Solomon
Publicado: (2026) -
Two classes of connectivity-related non-Hamiltonian 1-planar perfect graphs
por: Zhang, Licheng, et al.
Publicado: (2024) -
Dense $2$-connected planar graphs and the planar Turán number of $2C_k$
por: Li, Ping
Publicado: (2025)