On cuts of small chromatic number in sparse graphs
Fuente:
arXiv
Saved in:
| Main Authors: | Aubian, Guillaume, Bonamy, Marthe, Bourneuf, Romain, Fontaine, Oscar, Picasarri-Arrieta, Lucas |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Dichromatic number of chordal graphs
by: Bessy, Stéphane, et al.
Published: (2023)
by: Bessy, Stéphane, et al.
Published: (2023)
Computing the clique number of tournaments
by: Aubian, Guillaume
Published: (2024)
by: Aubian, Guillaume
Published: (2024)
On the minimum number of arcs in $4$-dicritical oriented graphs
by: Havet, Frédéric, et al.
Published: (2023)
by: Havet, Frédéric, et al.
Published: (2023)
Acyclic dichromatic number of oriented graphs
by: Bang-Jensen, Jørgen, et al.
Published: (2025)
by: Bang-Jensen, Jørgen, et al.
Published: (2025)
Sample compression schemes for balls in structurally sparse graphs
by: Bourneuf, Romain, et al.
Published: (2026)
by: Bourneuf, Romain, et al.
Published: (2026)
Minimum number of arcs in $k$-critical digraphs with order at most $2k-1$
by: Picasarri-Arrieta, Lucas, et al.
Published: (2023)
by: Picasarri-Arrieta, Lucas, et al.
Published: (2023)
Bipartite Turán number of paths and other trees
by: Bonamy, Marthe, et al.
Published: (2025)
by: Bonamy, Marthe, et al.
Published: (2025)
(Claw, C_3)-free digraphs with unbounded dichromatic number
by: Aubian, Guillaume, et al.
Published: (2026)
by: Aubian, Guillaume, et al.
Published: (2026)
Backbone colouring of chordal graphs
by: Araújo, Júlio, et al.
Published: (2025)
by: Araújo, Júlio, et al.
Published: (2025)
Bounded twin-width graphs are polynomially $χ$-bounded
by: Bourneuf, Romain, et al.
Published: (2023)
by: Bourneuf, Romain, et al.
Published: (2023)
$χ$-Boundedness and Neighbourhood Complexity of Bounded Merge-Width Graphs
by: Bonamy, Marthe, et al.
Published: (2025)
by: Bonamy, Marthe, et al.
Published: (2025)
On graph classes with constant domination-packing ratio
by: Bonamy, Marthe, et al.
Published: (2025)
by: Bonamy, Marthe, et al.
Published: (2025)
Generalized DP-colorings of digraphs
by: Picasarri-Arrieta, Lucas, et al.
Published: (2025)
by: Picasarri-Arrieta, Lucas, et al.
Published: (2025)
Complexity results on the decomposition of a digraph into directed linear forests and out-stars
by: Hörsch, Florian, et al.
Published: (2024)
by: Hörsch, Florian, et al.
Published: (2024)
Increasing arc-connectivity by bounded- and fixed-size inversions
by: Hörsch, Florian, et al.
Published: (2026)
by: Hörsch, Florian, et al.
Published: (2026)
Subdivisions in dicritical digraphs with large order or digirth
by: Picasarri-Arrieta, Lucas, et al.
Published: (2024)
by: Picasarri-Arrieta, Lucas, et al.
Published: (2024)
An analogue of Reed's conjecture for digraphs
by: Kawarabayashi, Ken-ichi, et al.
Published: (2024)
by: Kawarabayashi, Ken-ichi, et al.
Published: (2024)
Chromatic discrepancy of locally $s$-colourable graphs
by: Corsini, Timothée, et al.
Published: (2025)
by: Corsini, Timothée, et al.
Published: (2025)
Enumerating minimal dominating sets in the (in)comparability graphs of bounded dimension posets
by: Bonamy, Marthe, et al.
Published: (2020)
by: Bonamy, Marthe, et al.
Published: (2020)
Redicolouring digraphs: directed treewidth and cycle-degeneracy
by: Nisse, Nicolas, et al.
Published: (2023)
by: Nisse, Nicolas, et al.
Published: (2023)
Constrained Flows in Networks
by: Bessy, Stéphane, et al.
Published: (2023)
by: Bessy, Stéphane, et al.
Published: (2023)
A Gray code for arborescences of tournaments
by: Bonamy, Marthe, et al.
Published: (2026)
by: Bonamy, Marthe, et al.
Published: (2026)
On a recolouring version of Hadwiger's conjecture
by: Bonamy, Marthe, et al.
Published: (2021)
by: Bonamy, Marthe, et al.
Published: (2021)
A Dense Neighborhood Lemma: Applications of Partial Concept Classes to Domination and Chromatic Number
by: Bourneuf, Romain, et al.
Published: (2025)
by: Bourneuf, Romain, et al.
Published: (2025)
More results on the $z$-chromatic number of graphs
by: Khaleghi, Abbas, et al.
Published: (2023)
by: Khaleghi, Abbas, et al.
Published: (2023)
Extension of the Gyárfás-Sumner conjecture to signed graphs
by: Aubian, Guillaume, et al.
Published: (2025)
by: Aubian, Guillaume, et al.
Published: (2025)
A Structural Linear-Time Algorithm for Computing the Tutte Decomposition
by: Bourneuf, Romain, et al.
Published: (2025)
by: Bourneuf, Romain, et al.
Published: (2025)
$(Δ-1)$-dicolouring of digraphs
by: Harutyunyan, Ararat, et al.
Published: (2025)
by: Harutyunyan, Ararat, et al.
Published: (2025)
On $(n,m)$-chromatic numbers of graphs having bounded sparsity parameters
by: Das, Sandip, et al.
Published: (2023)
by: Das, Sandip, et al.
Published: (2023)
Making Graphs Irregular through Irregularising Walks
by: Bensmail, Julien, et al.
Published: (2025)
by: Bensmail, Julien, et al.
Published: (2025)
Tree decompositions whose trees are subgraphs: An application of Simon's factorization
by: Bourneuf, Romain, et al.
Published: (2026)
by: Bourneuf, Romain, et al.
Published: (2026)
On Modular Edge Colourings of Graphs
by: Berthe, Gaétan, et al.
Published: (2025)
by: Berthe, Gaétan, et al.
Published: (2025)
The chromatic number of triangle-free hypergraphs
by: Li, Lina, et al.
Published: (2022)
by: Li, Lina, et al.
Published: (2022)
Linear versus centred chromatic numbers
by: Bose, Prosenjit, et al.
Published: (2022)
by: Bose, Prosenjit, et al.
Published: (2022)
Burling graphs in graphs with large chromatic number
by: Abrishami, Tara, et al.
Published: (2025)
by: Abrishami, Tara, et al.
Published: (2025)
Circular chromatic index of small graphs
by: Mazák, Ján, et al.
Published: (2026)
by: Mazák, Ján, et al.
Published: (2026)
Balanced-chromatic number and Hadwiger-like conjectures
by: Jiménez, Andrea, et al.
Published: (2023)
by: Jiménez, Andrea, et al.
Published: (2023)
The strong chromatic index of $K_{t,t}$-free graphs
by: Bi, Richard, et al.
Published: (2026)
by: Bi, Richard, et al.
Published: (2026)
Bounding the chromatic number of dense digraphs by arc neighborhoods
by: Klingelhoefer, Felix, et al.
Published: (2023)
by: Klingelhoefer, Felix, et al.
Published: (2023)
A quasi-optimal upper bound for induced paths in sparse graphs
by: Couëtoux, Basile, et al.
Published: (2025)
by: Couëtoux, Basile, et al.
Published: (2025)
Similar Items
-
Dichromatic number of chordal graphs
by: Bessy, Stéphane, et al.
Published: (2023) -
Computing the clique number of tournaments
by: Aubian, Guillaume
Published: (2024) -
On the minimum number of arcs in $4$-dicritical oriented graphs
by: Havet, Frédéric, et al.
Published: (2023) -
Acyclic dichromatic number of oriented graphs
by: Bang-Jensen, Jørgen, et al.
Published: (2025) -
Sample compression schemes for balls in structurally sparse graphs
by: Bourneuf, Romain, et al.
Published: (2026)