Results 101 to 110 of about 135,666 (285)
An Improved Quasi‐Isometry Between Graphs of Bounded Cliquewidth and Graphs of Bounded Treewidth
Journal of Graph Theory, EarlyView.ABSTRACT Cliquewidth is a dense analogue of treewidth. It can be deduced from recent results by Hickingbotham [arXiv:2501.10840] and Nguyen, Scott, and Seymour [arXiv:2501.09839] that graphs of bounded cliquewidth are quasi‐isometric to graphs of bounded treewidth.
Marc Distel
wiley +1 more source
Upper Bounds on the Minimum Size of Feedback Arc Set of Directed Multigraphs With Bounded Degree
Journal of Graph Theory, EarlyView.ABSTRACT An oriented multigraph is a directed multigraph without directed 2‐cycles. Let fas ( D ) $\text{fas}(D)$ denote the minimum size of a feedback arc set in an oriented multigraph D $D$. In several papers, upper bounds for fas ( D ) $\text{fas}(D)$ were obtained for oriented multigraphs D $D$ with maximum degree upper‐bounded by a constant ...
Gregory Gutin +3 more
wiley +1 more source
On clique convergence of graphs
AKCE International Journal of Graphs and Combinatorics, 2016 Let G be a graph and KG be the set of all cliques of G, then the clique graph of G denoted by K(G) is the graph with vertex set KG and two elements Qi,Qj∈KG form an edge if and only if Qi∩Qj≠0̸.
S.M. Hegde, Suresh Dara
doaj +1 more source
On Oriented Colourings of Graphs on Surfaces
Journal of Graph Theory, EarlyView.ABSTRACT For an oriented graph G $G$, the least number of colours required to oriented colour G $G$ is called the oriented chromatic number of G $G$ and denoted χ o ( G ) ${\chi }_{o}(G)$. For a non‐negative integer g $g$ let χ o ( g ) ${\chi }_{o}(g)$ be the least integer such that χ o ( G ) ≤ χ o ( g ) ${\chi }_{o}(G)\le \unicode{x0200A}{\chi }_{o}(g)
Alexander Clow
wiley +1 more source
Network‐assisted protein identification and data interpretation in shotgun proteomics
Molecular Systems Biology, 2009 Protein assembly and biological interpretation of the assembled protein lists are critical steps in shotgun proteomics data analysis. Although most biological functions arise from interactions among proteins, current protein assembly pipelines treat ...
Jing Li +5 more
doaj +1 more source
Signed Projective Cubes, a Homomorphism Point of View
Journal of Graph Theory, EarlyView.ABSTRACT The (signed) projective cubes, as a special class of graphs closely related to the hypercubes, are on the crossroad of geometry, algebra, discrete mathematics and linear algebra. Defined as Cayley graphs on binary groups, they represent basic linear dependencies.
Meirun Chen +2 more
wiley +1 more source
Clique roots of K4-free chordal graphs
Electronic Journal of Graph Theory and Applications, 2019 The clique polynomial C(G, x) of a finite, simple and undirected graph G = (V, E) is defined as the ordinary generating function of the number of complete subgraphs of G. A real root of C(G, x) is called a clique root of the graph G.
Hossein Teimoori Faal
doaj +1 more source
Clique Cover Width and Clique Sum
, 2015 For a clique cover $C$ in the undirected graph $G$, the clique cover graph of $C$ is the graph obtained by contracting the vertices of each clique in $C$ into a single vertex. The clique cover width of G, denoted by $CCW(G)$, is the minimum value of the bandwidth of all clique cover graphs of $G$. When $G$ is the clique sum of $G_1$ and $G_2$, we prove
openaire +2 more sources
Discrete Mathematics, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hell, Pavol +1 more
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Fractional List Packing for Layered Graphs
Journal of Graph Theory, EarlyView.ABSTRACT The fractional list packing number χ ℓ • ( G ) ${\chi }_{\ell }^{\bullet }(G)$ of a graph G $G$ is a graph invariant that has recently arisen from the study of disjoint list‐colourings. It measures how large the lists of a list‐assignment L : V ( G ) → 2 N $L:V(G)\to {2}^{{\mathbb{N}}}$ need to be to ensure the existence of a “perfectly ...
Stijn Cambie, Wouter Cames van Batenburg
wiley +1 more source