Results 61 to 70 of about 5,081 (203)
Stable gonality is computable [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 Stable gonality is a multigraph parameter that measures the complexity of a graph. It is defined using maps to trees. Those maps, in some sense, divide the edges equally over the edges of the tree; stable gonality asks for the map with the minimum number
Ragnar Groot Koerkamp +1 more
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International Transactions in Operational Research, EarlyView.Abstract We address the scheduling conflicting jobs on parallel identical machines problem with makespan minimization, a classical and computationally challenging variant of parallel machine scheduling. We develop and evaluate three distinct solution methodologies: a novel constraint programming (CP) formulation, and two metaheuristics: a multi ...
Roberto Maria Rosati +3 more
wiley +1 more source
Tree Independence Number III. Thetas, Prisms and Stars
Journal 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
Short note of supertree-width and n-Superhypertree-width [PDF]
Neutrosophic Sets and SystemsThis paper investigates the properties of tree-width and related graph width parameters for n SuperHyperGraphs, a broader generalization of hypergraphs.
Takaaki Fujita
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Linear Versus Centred Colouring via Pseudogrids
Journal 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
An improved algorithm for the vertex cover $P_3$ problem on graphs of bounded treewidth [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 Given a graph $G=(V,E)$ and a positive integer $t\geq2$, the task in the vertex cover $P_t$ ($VCP_t$) problem is to find a minimum subset of vertices $F\subseteq V$ such that every path of order $t$ in $G$ contains at least one vertex from $F$.
Zongwen Bai, Jianhua Tu, Yongtang Shi
doaj +1 more source
A Coarse Geometric Approach to Graph Layout Problems
Journal of Graph Theory, Volume 113, Issue 2, Page 169-194, October 2026.ABSTRACT We define a range of new coarse geometric invariants based on various graph–theoretic measures of complexity for finite graphs, including treewidth, pathwidth, cutwidth and bandwidth. We prove that, for bounded degree graphs, these invariants can be used to define functions which satisfy a strong monotonicity property, namely, they are ...
Wanying Huang +3 more
wiley +1 more source
On Sparsification for Computing Treewidth [PDF]
Algorithmica, 2013 21 pages.
openaire +7 more sources
Fractional List Packing for Layered Graphs
Journal of Graph Theory, Volume 113, Issue 1, Page 19-37, September 2026.ABSTRACT The fractional list packing number χ ℓ • ( G ) of a graph 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 need to be to ensure the existence of a “perfectly balanced” probability distribution on proper L‐colourings, that is, such ...
Stijn Cambie, Wouter Cames van Batenburg
wiley +1 more source