Iskanje po repozitoriju

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Povzetek: A function $f$ that assigns values from the set $\{0, 1, 2\}$ to each vertex of a graph is called a $2$-rainbow independent dominating function, if the vertices assigned the value $1$ form an independent set, the vertices assigned the value $2$ form another independent set, and every vertex to which $0$ is assigned has at least one neighbor in each of the mentioned independent sets. The weight of this function is the total number of vertices assigned nonzero values. The $2$-rainbow independent domination number of $G$, $\gamma_{{\rm ri}2}(G)$, is the minimum weight of such a function. Motivated by a real-life application, we study the $2$-rainbow independent domination number of the complementary prism $G \overline{G}$ of a graph $G$, which is constructed by taking $G$ and its complement $\overline{G}$, and then adding edges between corresponding vertices. We provide tight bounds for $\gamma_{{\rm ri}2}(G \overline{G})$, and characterize graphs for which the lower bound, i.e. $\max \{ \gamma_{{\rm ri}2}(G), \gamma_{{\rm ri}2}(\overline{G})\}+1$, is attained. The obtained results can, in practice, enable the prediction of the cost estimate for a given communication or surveillance network.
Ključne besede: graph theory, domination, 2-rainbow independent domination, complementary prism
Objavljeno v DiRROS: 28.04.2025; Ogledov: 9; Prenosov: 4
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Ključne besede: cast aluminium alloys, sol-gel coatings, field testing, scanning electron microscopy, x-ray photoelectron spectroscopy, marine immersion, Adriatic Sea
Objavljeno v DiRROS: 25.04.2025; Ogledov: 75; Prenosov: 32
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Ključne besede: anorganski pigmenti, Helios TBLUS, bizmut vanadat, finost mletja, vezivni sistemi, velikost delcev, DataColor, diplomsko delo
Objavljeno v DiRROS: 25.04.2025; Ogledov: 64; Prenosov: 0
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Povzetek: We show that if a Sylow $p$-subgroup of a finite group $G$ is nilpotent of class at most $p$, then the $p$-part of the Bogomolov multiplier of $G$ is locally controlled.
Ključne besede: finite groups, Sylow subgroups, Bogomolov multipliers
Objavljeno v DiRROS: 24.04.2025; Ogledov: 81; Prenosov: 26
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Ključne besede: bone tissue engineering, biomaterial, PMMA, EGDMA, hydroxyapatite (HA), curcumin
Objavljeno v DiRROS: 24.04.2025; Ogledov: 90; Prenosov: 29
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