Results 41 to 50 of about 312 (179)
On the 12-Representability of Induced Subgraphs of a Grid Graph
The notion of a 12-representable graph was introduced by Jones, Kitaev, Pyatkin and Remmel in [Representing graphs via pattern avoiding words, Electron. J. Combin. 22 (2015) #P2.53].
Chen Joanna N., Kitaev Sergey
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Finding Maximum Weight 2‐Packing Sets on Arbitrary Graphs
ABSTRACT A 2‐packing set for an undirected, weighted graph G=(V,E,w)$$ G=\left(V,\kern0.3em E,\kern0.3em w\right) $$ is a subset 𝒮⊆V such that any two vertices v1,v2∈𝒮 are not adjacent and have no common neighbors. The Maximum Weight 2‐Packing Set problem that asks for a 2‐packing set of maximum weight is NP$$ \mathbf{NP} $$‐hard. Next to 13 novel data
Jannick Borowitz +2 more
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Abstract Research Summary We extend ecosystem theory to cases in which platforms are complementors to each other: inter‐platform ecosystems. Analyzing web traffic data on 241 European platforms, we identify and characterize demand‐side inter‐platform ecosystems, and propose a theory of why they emerge.
Bruno Carballa‐Smichowski +3 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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Decomposition of 4k-regular graphs into k 4-regular K5-free and (K5−e)-free subgraphs [PDF]
Rachel Johnson +4 more
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Characterizing the forbidden pairs for graphs to be super-edge-connected
Let [Formula: see text] be a set of given connected graphs. A graph G is said to be [Formula: see text]-free if G contains no H as an induced subgraph for any [Formula: see text].
Hazhe Ye, Yingzhi Tian
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Recoloring via Modular Decomposition
ABSTRACT The reconfiguration graph of the k‐colorings of a graph G, denoted R k ( G ), is the graph whose vertices are the k‐colorings of G and two colorings are adjacent in R k ( G ) if they differ in color on exactly one vertex. A graph G is said to be recolorable if R ℓ ( G ) is connected for all ℓ ≥ χ ( G ) + 1.
Manoj Belavadi +2 more
wiley +1 more source
Diophantine tuples and product sets in shifted powers
Abstract Let k⩾2$k\geqslant 2$ and n≠0$n\ne 0$. A Diophantine tuple with property Dk(n)$D_k(n)$ is a set of positive integers A$A$ such that ab+n$ab+n$ is a k$k$th power for all a,b∈A$a,b\in A$ with a≠b$a\ne b$. Such generalizations of classical Diophantine tuples have been studied extensively.
Ernie Croot, Chi Hoi Yip
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Line Graphs and Forbidden Induced Subgraphs
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lai, Hong-Jian, Šoltés, Ľubomír
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Graphs whose Laplacian eigenvalues are almost all 1 or 2
We explicitly determine all connected graphs whose Laplacian matrices have at most four eigenvalues different from 1 and 2.
Mohammadian Ali, Xu Shanshan
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