Results 81 to 90 of about 6,576,413 (265)
Maximum weighted induced subgraphs
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Harant, J., Mohr, S.
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ABSTRACT Wind energy's intermittency poses significant challenges for power grid stability. Existing forecasting methods exhibit notable limitations: traditional machine learning models struggle with long‐term temporal dependencies, while deep learning approaches often overlook spatial relationships among turbines.
YuChen Zhang
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A fundamental theorem on graph operators
A graph operator is a function [Formula: see text] defined on some set of graphs such that whenever two graphs G and H are isomorphic, written [Formula: see text], then [Formula: see text].
Severino V. Gervacio
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Induced subgraphs with distinct sizes [PDF]
AbstractWe show that for every 0 < ϵ < 1/2, there is an n0 = n0(ϵ) such that if n > n0 then every n‐vertex graph G of size at least $\varepsilon \left( {\matrix{ {\matrix{ n \cr 2 \cr } } \cr } } \right)$ and at most $(1- \varepsilon) \left( {\matrix{ {\matrix{ n \cr 2 \cr } } \cr } } \right)$ contains induced k‐vertex subgraphs with at least ...
Alon, Noga, Kostochka, A. V.
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Dimer models and conformal structures
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
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Hereditary Equality of Domination and Exponential Domination
We characterize a large subclass of the class of those graphs G for which the exponential domination number of H equals the domination number of H for every induced subgraph H of G.
Henning Michael A. +2 more
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$\mathcal{B}$-Partitions, determinant and permanent of graphs [PDF]
Let $G$ be a graph (directed or undirected) having $k$ number of blocks $B_1, B_2,\hdots,B_k$. A $\mathcal{B}$-partition of $G$ is a partition consists of $k$ vertex-disjoint subgraph $(\hat{B_1},\hat{B_1},\hdots,\hat{B_k})$ such that $\hat{B}_i$ is an ...
Ranveer Singh, Ravindra Bapat
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Induced subgraphs of prescribed size [PDF]
AbstractA subgraph of a graph G is called trivial if it is either a clique or an independent set. Let q(G) denote the maximum number of vertices in a trivial subgraph of G. Motivated by an open problem of Erdős and McKay we show that every graph G on n vertices for which q(G)≤ C log n contains an induced subgraph with exactly y edges, for every y ...
Alon, Noga +2 more
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Abstract Quantifying the structure and dynamics of species interactions in ecological communities is fundamental to studying ecology and evolution. While there are numerous approaches to analysing ecological networks, there is not yet an approach that can (1) quantify dissimilarity in the global structure of ecological networks that range from ...
Kai M. Hung +4 more
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Heavy subgraph pairs for traceability of block-chains
A graph is called traceable if it contains a Hamilton path, i.e., a path containing all its vertices. Let G be a graph on n vertices. We say that an induced subgraph of G is o−1-heavy if it contains two nonadjacent vertices which satisfy an Ore-type ...
Li Binlong +2 more
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