Results 161 to 170 of about 617,805 (269)

Dense H-free graphs are almost (Χ(H)-1)-partite [PDF]

open access: yes, 2010
By using the Szemeredi Regularity Lemma, Alon and Sudakov recently extended the classical Andrasfai-Erdos-Sos theorem to cover general graphs. We prove, without using the Regularity Lemma, that the following stronger statement is true.
Peter Allen, Allen, Peter
core  

Systematic Review of Parasite Diversity in Wild Freshwater Fishes and Their Host‐Locality Interactions in Türkiye

open access: yesZoologica Scripta, EarlyView.
ABSTRACT This systematic review documented a taxonomically diverse parasite fauna of freshwater fishes across seven geographical regions of Türkiye, encompassing 11 phyla: Acanthocephala, Annelida, Arthropoda, Choanozoa, Ciliophora, Cnidaria, Euglenozoa, Mollusca, Myzozoa, Nematoda, and Platyhelminthes.
Canan Hamurkaroğlu   +3 more
wiley   +1 more source

Density Conditions for k Vertex‐Disjoint Triangles in Tripartite Graphs

open access: yesJournal of Graph Theory, Volume 113, Issue 4, Page 634-649, December 2026.
ABSTRACT Let n , k be positive integers such that n ≥ k and G be a tripartite graph with parts A , B , C such that ∣ A ∣ = ∣ B ∣ = ∣ C ∣ = n. Denote the edge densities of G [ A , B ] , G [ A , C ] and G [ B , C ] by α , β and γ, respectively. In this paper, we study edge density conditions for the existence of k vertex‐disjoint triangles in a ...
Mingyang Guo, Klas Markström
wiley   +1 more source

On Fork‐Free t‐Perfect Graphs

open access: yesJournal of Graph Theory, Volume 113, Issue 4, Page 553-570, December 2026.
ABSTRACT In an effort to understand the complexity of the maximum independent set problem, Chvátal introduced t‐perfect graphs. While a full characterization of this class remains open, important progress has been made for claw‐free graphs [Bruhn and Stein, Math. Program. 2012] and P 5‐free graphs [Bruhn and Fuchs, SIAM J. Discrete Math. 2017]. We take
Yixin Cao, Shenghua Wang
wiley   +1 more source

Tree Independence Number III. Thetas, Prisms and Stars

open access: yesJournal of Graph Theory, Volume 113, Issue 4, Page 619-633, December 2026.
ABSTRACT We prove that for every t ∈ N there exists τ = τ ( t ) ∈ N such that every (theta, prism, K 1 , t)‐free graph has tree independence number at most τ (where we allow “prisms” to have one path of length zero).
Maria Chudnovsky   +2 more
wiley   +1 more source

Stable Cuts, NAC‐Colourings and Flexible Realisations of Graphs

open access: yesJournal of Graph Theory, Volume 113, Issue 3, Page 411-427, November 2026.
ABSTRACT A (2‐dimensional) realisation of a graph G is a pair ( G , p ), where p maps the vertices of G to R 2. A realisation is flexible if it can be continuously deformed while keeping the edge lengths fixed, and rigid otherwise. We say that G is rigid if every generic realisation of G is rigid; otherwise, G is flexible. In this paper, we investigate
Katie Clinch   +5 more
wiley   +1 more source

Linear Versus Centred Colouring via Pseudogrids

open access: yesJournal of Graph Theory, Volume 113, Issue 3, Page 448-461, November 2026.
ABSTRACT A centred colouring of a graph is a vertex colouring in which every connected subgraph contains a vertex whose colour is unique and a linear colouring is a vertex colouring in which every (not‐necessarily induced) path contains a vertex whose colour is unique.
Prosenjit Bose   +4 more
wiley   +1 more source

A Min–Max Relation on Dicuts and Dijoins in Weighted Chordal Digraphs

open access: yesJournal of Graph Theory, Volume 113, Issue 3, Page 462-469, November 2026.
ABSTRACT In a digraph, a dicut is a cut where all the arcs cross in one direction. A dijoin is a subset of arcs that intersects every dicut. Edmonds and Giles conjectured that in a weighted digraph, the minimum weight of a dicut is equal to the maximum size of a packing of dijoins. This has been disproved. However, the unweighted version conjectured by
Gérard Cornuéjols, Siyue Liu, R. Ravi
wiley   +1 more source

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