Results 11 to 20 of about 20,895 (206)
Some Resolving Parameters in a Class of Cayley Graphs
Journal of Mathematics, 2022 Resolving parameters are a fundamental area of combinatorics with applications not only to many branches of combinatorics but also to other sciences.
Jia-Bao Liu, Ali Zafari
doaj +1 more source
Some algebraic properties of a class of integral graphs determined by their spectrum
, 2021 Let $\Gamma=(V,E)$ be a graph. If all the eigenvalues of the adjacency matrix of the graph $\Gamma$ are integers, then we say that $\Gamma$ is an integral graph.
Liu, Jia-Bao +2 more
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Observer Placement for Source Localization: The Effect of Budgets and Transmission Variance [PDF]
, 2016 When an epidemic spreads in a network, a key question is where was its source, i.e., the node that started the epidemic. If we know the time at which various nodes were infected, we can attempt to use this information in order to identify the source ...
Celis, L. Elisa +2 more
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On minimal doubly resolving sets in graphs
, 2021 Two vertices u,v of connected graph G are doubly resolved by x,y\in V(G)if d(v; x)-d(u; x)\neq d(v; y)-d(u; y): A set W of vertices of the graph G is a doubly resolving set for G if every two distinct vertices of G are doubly resolved by some two vertices of W. (G) is the minimum cardinality of a doubly resolving set for the graph G.
openaire +2 more sources
New results on metric-locating-dominating sets of graphs [PDF]
, 2016 A dominating set $S$ of a graph is a metric-locating-dominating set if each vertex of the graph is uniquely distinguished by its distances from the elements of $S$, and the minimum cardinality of such a set is called the metric-location-domination number.
González, Antonio +2 more
core +3 more sources
Path sets in one-sided symbolic dynamics [PDF]
, 2013 Path sets are spaces of one-sided infinite symbol sequences associated to pointed graphs (G_v_0), which are edge-labeled directed graphs G with a distinguished vertex v_0. Such sets arise naturally as address labels in geometric fractal constructions and
Abram, William, Lagarias, Jeffrey C.
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On Consistent Kinetic and Derivative Interactions for Gravitons [PDF]
, 2015 The only known fully ghost-free and consistent Lorentz-invariant kinetic term for a graviton (or indeed for any spin-2 field) is the Einstein-Hilbert term.
Noller, Johannes
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Bases for cluster algebras from surfaces
, 2011 We construct two bases for each cluster algebra coming from a triangulated surface without punctures. We work in the context of a coefficient system coming from a full-rank exchange matrix, for example, principal coefficients.Comment: 53 pages; v2 ...
Gregg Musiker +9 more
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An efficient variational principle for the direct optimization of excited states
, 2016 We present a variational function that targets excited states directly based on their position in the energy spectrum, along with a Monte Carlo method for its evaluation and minimization whose cost scales polynomially for a wide class of approximate wave
Neuscamman, Eric, Zhao, Luning
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On Minimal Edge Version of Doubly Resolving Sets of a Graph
Journal of Combinatorial Mathematics and Combinatorial ComputingIn this paper, we introduce the edge version of doubly resolving set of a graph which is based on the edge distances of the graph. As a main result, we computed the minimum cardinality \(\psi_E\) of edge version of doubly resolving sets of family of \(n\)-sunlet graph \(S_n\) and prism graph \(Y_n\).
Ahmad, Muhammad +2 more
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