Results 31 to 40 of about 146,548 (294)

Resolving-power dominating sets

open access: yesApplied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sudeep Stephen   +3 more
openaire   +3 more sources

Resolving Independent Dominating Set pada Graf Bunga, Graf Gear, dan Graf Bunga Matahari

open access: yesContemporary Mathematics and Applications (ConMathA), 2023
Resolving independent dominating set is the development of metric dimension and independent dominating set. Resolving independent dominating sets is a concept which discusses about determining the minimum vertex on a graph provided that the vertex that ...
Rafiantika Megahniah Prihandini   +4 more
doaj   +1 more source

Semiclassical resolvent estimates at trapped sets [PDF]

open access: yesAnnales de l'Institut Fourier, 2012
We extend our recent results on propagation of semiclassical resolvent estimates through trapped sets when a priori polynomial resolvent bounds hold. Previously we obtained non-trapping estimates in trapping situations when the resolvent was sandwiched between cutoffs χ
Datchev, Kiril, Vasy, András
openaire   +2 more sources

Levenshtein graphs: Resolvability, automorphisms & determining sets

open access: yesDiscrete Mathematics, 2023
22 pages, 3 ...
Perrin E. Ruth, Manuel E. Lladser
openaire   +2 more sources

Non-Isolated Resolving Sets of Corona Graphs with Some Regular Graphs [PDF]

open access: yes, 2022
Let G be a connected, simple, and finite graph. For an ordered set W={w1,w2,…,wk}⊆V(G) and a vertex v of G, the representation of v with respect to W is the k-vector r(v|W)=(dG(v,w1),…,dG(v,wk)) . The set W is called a resolving set of G, if every two
Salman, Anm   +2 more
core   +2 more sources

Metric and fault-tolerant metric dimension for GeSbTe superlattice chemical structure.

open access: yesPLoS ONE, 2023
The concept of metric dimension has many applications, including optimizing sensor placement in networks and identifying influential persons in social networks, which aids in effective resource allocation and focused interventions; finding the source of ...
Liu Liqin   +4 more
doaj   +1 more source

Resolving sets tolerant to failures in three-dimensional grids

open access: yes, 2021
An ordered set $S$ of vertices of a graph $G$ is a resolving set for $G$ if every vertex is uniquely determined by its vector of distances to the vertices in $S$. The metric dimension of G is the minimum cardinality of a resolving set.
Salorio, María José Souto   +6 more
core   +1 more source

Notes on the resolvent set

open access: yesKyoto Journal of Mathematics, 1986
We want to add here another two proofs that the resolvent set of a linear operator is open. The first proof depends on the Hahn-Banach theorem and the second on the Neumann series construction of a linear isomorphism between Ran(A-\(\lambda)\) and Ran(A-\(\mu)\).
Ikebe, Teruo, Yoshioka, Takashi
openaire   +3 more sources

A Minimum Doubly Resolving Set and Strong Resolving Set for the Crystal Cubic Carbon

open access: yes, 2022
Personal reasons, Professor Jia Bao Liu asked us not to mention his name in the article and to thank him only in the acknowledgments ...
Zafari, Ali, Alikhani, Saeid
openaire   +2 more sources

Minimum weight resolving sets of grid graphs [PDF]

open access: yesDiscrete Mathematics, Algorithms and Applications, 2016
For a simple graph [Formula: see text] and for a pair of vertices [Formula: see text], we say that a vertex [Formula: see text] resolves [Formula: see text] and [Formula: see text] if the shortest path from [Formula: see text] to [Formula: see text] is of a different length than the shortest path from [Formula: see text] to [Formula: see text].
Andersen, Patrick   +2 more
openaire   +2 more sources

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