Results 231 to 240 of about 187,749 (326)

Extension of partial atom-to-atom maps: uniqueness and algorithms. [PDF]

Algorithms Mol Biol
Laffitte MEG, Phan TL, Stadler PF.
europepmc   +1 more source

Linear Versus Centred Colouring via Pseudogrids

Journal of Graph Theory, EarlyView.
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. For a graph G $G$, the centred chromatic number χ cen ( G ) ${\chi }_{\text{cen}}(G)$
Prosenjit Bose, Vida Dujmović, Hussein Houdrouge, Mehrnoosh Javarsineh, Pat Morin   +4 more
wiley   +1 more source

Peierls Bounds from Toom Contours. [PDF]

J Theor Probab
Swart JM, Szabó R, Toninelli C.
europepmc   +1 more source

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

Journal of Graph Theory, EarlyView.
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

A fuzzy graph theoretic approach to face shape recognition using cubic outerplanar structures. [PDF]

Sci Rep
Jaisankar D, Ramalingam S, Zegeye GB.
europepmc   +1 more source

Density Conditions for k $k$ Vertex‐Disjoint Triangles in Tripartite Graphs

Journal of Graph Theory, EarlyView.
ABSTRACT Let n , k $n,k$ be positive integers such that n ≥ k $n\ge k$ and G $G$ be a tripartite graph with parts A , B , C $A,B,C$ such that ∣ A ∣ = ∣ B ∣ = ∣ C ∣ = n $| A| =| B| =| C| =n$. Denote the edge densities of G [ A , B ] , G [ A , C ] $G[A,B],G[A,C]$ and G [ B , C ] $G[B,C]$ by α , β $\alpha ,\beta $ and γ $\gamma $, respectively.
Mingyang Guo, Klas Markström
wiley   +1 more source

Cover-free families on hypergraphs and combinatorial group testing. [PDF]

J Comb Optim
Idalino TB, Moura L.
europepmc   +1 more source

An End Degree for Digraphs

Journal of Graph Theory, EarlyView.
ABSTRACT In this paper we define a degree for ends of infinite digraphs. The well‐definedness of our definition in particular resolves a problem by Zuther. Furthermore, we extend our notion of end degree to also respect, among others, the vertices dominating the end, which we denote as combined end degree.
Matthias Hamann, Karl Heuer
wiley   +1 more source

Moonshine.jl: a Julia package for genome-scale model-based ancestral recombination graph inference. [PDF]

Front Genet
Fournier P, Larribe F.
europepmc   +1 more source

On Fork‐Free t‐Perfect Graphs

Journal of Graph Theory, EarlyView.
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 ${P}_{5}$‐free graphs [Bruhn and Fuchs, SIAM J. Discrete Math. 2017]
Yixin Cao, Shenghua Wang
wiley   +1 more source