Results 1 to 10 of about 1,611,510 (293)
On the Erd\H{o}s-P\'osa property for immersions and topological minors in tournaments [PDF]
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
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Measurement of the Electron Magnetic Moment. [PDF]
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
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Asymptotically sharpening the $s$-Hamiltonian index bound [PDF]
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
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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
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Combinatorial Conversion and Moment Bisimulation for Stochastic Rewriting Systems [PDF]
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
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Zero-sum partitions of Abelian groups of order $2^n$ [PDF]
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
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Simplified Algorithmic Metatheorems Beyond MSO: Treewidth and Neighborhood Diversity [PDF]
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
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On the Monadic Second-Order Transduction Hierarchy [PDF]
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
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Hitting minors, subdivisions, and immersions in tournaments [PDF]
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
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Computing Minimum Rainbow and Strong Rainbow Colorings of Block Graphs [PDF]
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
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