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On the Erd\H{o}s-P\'osa property for immersions and topological minors in tournaments [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2022
We consider the Erd\H{o}s-P\'osa property for immersions and topological minors in tournaments. We prove that for every simple digraph $H$, $k\in \mathbb{N}$, and tournament $T$, the following statements hold: (i) If in $T$ one cannot find $k$ arc ...
Łukasz Bożyk, Michał Pilipczuk
doaj   +1 more source

Measurement of the Electron Magnetic Moment. [PDF]

open access: yesPhysical Review Letters, 2022
The electron magnetic moment, -μ/μ_{B}=g/2=1.001  159 652  180 59 (13) [0.13 ppt], is determined 2.2 times more accurately than the value that stood for fourteen years.
X. Fan   +3 more
semanticscholar   +1 more source

Asymptotically sharpening the $s$-Hamiltonian index bound [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2022
For a non-negative integer $s\le |V(G)|-3$, a graph $G$ is $s$-Hamiltonian if the removal of any $k\le s$ vertices results in a Hamiltonian graph. Given a connected simple graph $G$ that is not isomorphic to a path, a cycle, or a $K_{1,3}$, let $\delta(G)
Sulin Song   +3 more
doaj   +1 more source

On Mixed Cages [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2023
Mixed graphs have both directed and undirected edges. A mixed cage is a regular mixed graph of given girth with minimum possible order. In this paper mixed cages are studied. Upper bounds are obtained by general construction methods and computer searches.
Geoffrey Exoo
doaj   +1 more source

Combinatorial Conversion and Moment Bisimulation for Stochastic Rewriting Systems [PDF]

open access: yesLogical Methods in Computer Science, 2020
We develop a novel method to analyze the dynamics of stochastic rewriting systems evolving over finitary adhesive, extensive categories. Our formalism is based on the so-called rule algebra framework and exhibits an intimate relationship between the ...
Nicolas Behr   +2 more
doaj   +1 more source

Zero-sum partitions of Abelian groups of order $2^n$ [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2023
The following problem has been known since the 80's. Let $\Gamma$ be an Abelian group of order $m$ (denoted $|\Gamma|=m$), and let $t$ and $m_i$, $1 \leq i \leq t$, be positive integers such that $\sum_{i=1}^t m_i=m-1$.
Sylwia Cichacz, Karol Suchan
doaj   +1 more source

Simplified Algorithmic Metatheorems Beyond MSO: Treewidth and Neighborhood Diversity [PDF]

open access: yesLogical Methods in Computer Science, 2019
This paper settles the computational complexity of model checking of several extensions of the monadic second order (MSO) logic on two classes of graphs: graphs of bounded treewidth and graphs of bounded neighborhood diversity.
Dušan Knop   +3 more
doaj   +1 more source

On the Monadic Second-Order Transduction Hierarchy [PDF]

open access: yesLogical Methods in Computer Science, 2010
We compare classes of finite relational structures via monadic second-order transductions. More precisely, we study the preorder where we set C \subseteq K if, and only if, there exists a transduction {\tau} such that C\subseteq{\tau}(K).
Achim Blumensath, Bruno Courcelle
doaj   +1 more source

Hitting minors, subdivisions, and immersions in tournaments [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2018
The Erd\H{o}s-P\'osa property relates parameters of covering and packing of combinatorial structures and has been mostly studied in the setting of undirected graphs.
Jean-Florent Raymond
doaj   +1 more source

Computing Minimum Rainbow and Strong Rainbow Colorings of Block Graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2018
A path in an edge-colored graph $G$ is rainbow if no two edges of it are colored the same. The graph $G$ is rainbow-connected if there is a rainbow path between every pair of vertices.
Melissa Keranen, Juho Lauri
doaj   +1 more source

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