Results 161 to 170 of about 617,805 (269)
Dense H-free graphs are almost (Χ(H)-1)-partite [PDF]
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
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
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
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
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
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
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
Toward heterogeneous information fusion: bipartite graph convolutional networks for in silico drug repurposing. [PDF]
Wang Z, Zhou M, Arnold C.
europepmc +1 more source
A Min–Max Relation on Dicuts and Dijoins in Weighted Chordal Digraphs
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
Drug-target interaction prediction using semi-bipartite graph model and deep learning. [PDF]
Eslami Manoochehri H, Nourani M.
europepmc +1 more source

