Results 21 to 30 of about 470 (69)
The generalized 3-connectivity of Cartesian product graphs [PDF]
, 2011 The generalized connectivity of a graph, which was introduced recently by Chartrand et al., is a generalization of the concept of vertex connectivity.
Li, Hengzhe, Li, Xueliang, Sun, Yuefang
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Graph Exponentiation and Neighborhood Reconstruction
Discussiones Mathematicae Graph Theory, 2021 Any graph G admits a neighborhood multiset 𝒩(G) = {NG(x) | x ∈ V (G)} whose elements are precisely the open neighborhoods of G. We say G is neighborhood reconstructible if it can be reconstructed from 𝒩(G), that is, if G ≅ H whenever 𝒩 (G) = 𝒩(H) for ...
Hammack Richard H.
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On the Connectivity of Token Graphs of Trees [PDF]
Discrete Mathematics & Theoretical Computer Science, 2022 Let $k$ and $n$ be integers such that $1\leq k \leq n-1$, and let $G$ be a simple graph of order $n$. The $k$-token graph $F_k(G)$ of $G$ is the graph whose vertices are the $k$-subsets of $V(G)$, where two vertices are adjacent in $F_k(G)$ whenever ...
Ruy Fabila-Monroy +2 more
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The General Position Problem on Kneser Graphs and on Some Graph Operations
Discussiones Mathematicae Graph Theory, 2021 A vertex subset S of a graph G is a general position set of G if no vertex of S lies on a geodesic between two other vertices of S. The cardinality of a largest general position set of G is the general position number (gp-number) gp(G) of G.
Ghorbani Modjtaba +5 more
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Structures of W(2.2) Lie conformal algebra
Open Mathematics, 2016 The purpose of this paper is to study W(2, 2) Lie conformal algebra, which has a free ℂ[∂]-basis {L, M} such that [LλL]=(∂+2λ)L,[LλM]=(∂+2λ)M,[MλM]=0$\begin{equation}[{L_\lambda }L] = (\partial + 2\lambda )L,[{L_\lambda }M] = (\partial + 2\lambda )M,[{M_\
Yuan Lamei, Wu Henan
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Maximum nullity and zero forcing of circulant graphs
Special Matrices, 2020 The zero forcing number of a graph has been applied to communication complexity, electrical power grid monitoring, and some inverse eigenvalue problems.
Duong Linh +4 more
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Soft covering based rough graphs and corresponding decision making
Open Mathematics, 2019 Soft set theory and rough set theory are two new tools to discuss uncertainty. Graph theory is a nice way to depict certain information. Particularly soft graphs serve the purpose beautifully.
Park Choonkil +5 more
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Domination Parameters of the Unitary Cayley Graph of /n
Discussiones Mathematicae Graph Theory, 2023 The unitary Cayley graph of /n, denoted Xn, is the graph with vertex set {0, . . ., n − 1} where vertices a and b are adjacent if and only if gcd(a − b, n) = 1.
Burcroff Amanda
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, 2014 The bondage number $b(G)$ of a nonempty graph $G$ is the cardinality of a smallest set of edges whose removal from $G$ results in a graph with domination number greater than the domination number of $G$. Here we study the bondage number of some grid-like
Bauer +18 more
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Total Colourings of Direct Product Graphs
, 2019 A graph is k-total colourable if there is an assignment of k different colours to the vertices and edges of the graph such that no two adjacent nor incident elements receive the same colour.
Janssen, Jeannette, MacKeigan, Kyle
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