Results 1 to 10 of about 427 (72)
Span of a Graph: Keeping the Safety Distance [PDF]
Discrete Mathematics & Theoretical Computer Science, 2023 Inspired by Lelek's idea from [Disjoint mappings and the span of spaces, Fund. Math. 55 (1964), 199 -- 214], we introduce the novel notion of the span of graphs.
Iztok Banič, Andrej Taranenko
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Veterinary Dermatology, Volume 33, Issue 1, Page 17-e6, February 2022., 2022 Background – Because of the increased incidence of multidrug‐resistant (MDR) bacteria, the use of disinfectants over antibiotics has been encouraged. However, the interactions between disinfectants and host local immunity are poorly understood. Objective – To assess the effects of chlorhexidine digluconate (Chx), with and without selected host defence ...
Domenico Santoro +3 more
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Correlations in totally symmetric self‐complementary plane partitions
Transactions of the London Mathematical Society, Volume 8, Issue 1, Page 493-526, December 2021., 2021 Abstract Totally symmetric self‐complementary plane partitions (TSSCPPs) are boxed plane partitions with the maximum possible symmetry. We use the well‐known representation of TSSCPPs as a dimer model on a honeycomb graph enclosed in 1/12 of a hexagon with free boundary to express them as perfect matchings of a family of non‐bipartite planar graphs ...
Arvind Ayyer, Sunil Chhita
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Computational and topological properties of neural networks by means of graph-theoretic parameters
Alexandria Engineering Journal, 2023 A neural network is a computer system modeled on the nerve tissue and nervous system. In this sense, neural networks refer to systems of neurons, either organic or artificial in nature.
Asad Khan +5 more
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On vertex PI index of certain triangular tessellation networks
Main Group Metal Chemistry, 2021 The Wiener index, due to its many applications is considered to be one of very important distance-based index. But the Padmaker-Ivan (PI) index is kind of the only distance related index linked to parallelism of edges.
Bokhary Syed Ahtsham Ul Haq, Adnan
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The Compared Costs of Domination Location-Domination and Identification
Discussiones Mathematicae Graph Theory, 2020 Let G = (V, E) be a finite graph and r ≥ 1 be an integer. For v ∈ V, let Br(v) = {x ∈ V : d(v, x) ≤ r} be the ball of radius r centered at v. A set C ⊆ V is an r-dominating code if for all v ∈ V, we have Br(v) ∩ C ≠ ∅; it is an r-locating-dominating code
Hudry Olivier, Lobstein Antoine
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Under which conditions is λ″(G)=κ″(L(G))?
AKCE International Journal of Graphs and Combinatorics, 2023 In this paper we show that if G is a connected graph such that [Formula: see text], [Formula: see text] and [Formula: see text] then [Formula: see text] exists and [Formula: see text] if and only if G is not super-[Formula: see text]. We also obtain some
Farnaz Soliemany +2 more
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Axioms for consensus functions on the n-cube [PDF]
, 2016 An elementary general result is proved that allows for simple characterizations of well-known location/consensus functions (median, mean and center) on the n-cube.
Garcia-Martinez, C. +3 more
core +3 more sources
Power Domination in the Generalized Petersen Graphs
Discussiones Mathematicae Graph Theory, 2020 The problem of monitoring an electric power system by placing as few measurement devices in the system can be formulated as a power dominating set problem in graph theory.
Zhao Min, Shan Erfang, Kang Liying
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On the Two-Dimensional Version of the Sperner Lemma and Brouwer’s Theorem
Annales Mathematicae Silesianae, 2022 In this work the Brouwer fixed point theorem for a triangle was proved by two methods based on the Sperner Lemma. One of the two proofs of Sperner’s Lemma given in the paper was carried out using the so-called index.
Barcz Eugeniusz
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