Results 131 to 140 of about 8,313 (308)
On The Number of Distinct Induced Subgraphs of a Graph
Let \(i(G)\) be the number of pairwise non-isomorphic induced subgraphs of graph \(G=\). The graph \(G=\) is \(\ell\)-canonical if there is a partition \(0\) such that for all \(n\) and for all \(G\) with \(n\) vertices \(i(G)\leq \delta n^{k+1}\) it follows that these exists a \(W\subset V\), \(|W| \leq \epsilon n\), such that \(G[V\setminus W]\) is \(
Paul Erdös, András Hajnal
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Survey on Visualization of Information Diffusion over Networks
Abstract Information Diffusion (ID) describes how a value (e.g., a pathogen, a rumor, a packet) spreads through an underlying “medium” network of elements (e.g., a social or computer network). Understanding the information diffusion process is essential to predicting trends, controlling misinformation, and enhancing decision‐making as well as ...
T. Baumgartl +8 more
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Maximising the number of connected induced subgraphs of unicyclic graphs
Audace A. V. Dossou-Olory
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Finding a maximum-weight induced k-partite subgraph of an i-triangulated graph
An i-triangulated graph is a graph in which every odd cycle has two non-crossing chords; i-triangulated graphs form a subfamily of perfect graphs. A slightly more general family of perfect graphs are clique-separable graphs.
Addario-Berry, Louigi +4 more
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Pairwise Imitation and Tournament Graphs
ABSTRACT This paper investigates strategic dynamics under the behavioral rule of pairwise interact and imitate (PII), which requires minimal information and emphasizes outperforming opponents in pairwise interactions. We characterize PII using weak tournament graphs and, for a broad class of dynamics, establish a one‐shot stability result for ...
Sung‐Ha Hwang +3 more
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On the number of induced subgraphs of trees
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Ensuring connectedness for the maximum quasi‐clique and densest k‐subgraph problems
Abstract Given an undirected graph G$G$, a quasi‐clique is a subgraph of G$G$ with density at least γ$\gamma$ (0<γ≤1)$(0 < \gamma \le 1)$. Two optimisation problems can be defined for quasi‐cliques: the maximum quasi‐clique (MQC) problem, which finds a quasi‐clique with maximum vertex cardinality, and the densest k$k$‐subgraph (DKS) problem, which ...
Daniela Scherer dos Santos +3 more
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Induced subgraphs of graphs with large chromatic number. I. Odd holes [PDF]
Alex Scott, Paul Seymour
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Induced subgraphs and tree decompositions XII. Grid theorem for pinched graphs [PDF]
Bogdan Alecu +3 more
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On 3-Colorings of Direct Products of Graphs
The k-independence number of a graph G, denoted as αk(G), is the order of a largest induced k-colorable subgraph of G. In [S. Špacapan, The k-independence number of direct products of graphs, European J. Combin.
Špacapan Simon
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