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Signed total double Roman dominating functions in graphs

open access: yesAKCE International Journal of Graphs and Combinatorics
A signed total double Roman dominating function (STDRDF) on an isolated-free graph [Formula: see text] is a function [Formula: see text] such that (i) every vertex v with [Formula: see text] has at least two neighbors assigned 2 under f or one neighbor w
L. Shahbazi   +2 more
doaj   +2 more sources

Bounds on signed total double Roman domination [PDF]

open access: yesCommunications in Combinatorics and Optimization, 2020
A signed total double Roman dominating function (STDRDF) on {an} isolated-free graph $G=(V,E)$ is a function $f:V(G)\rightarrow\{-1,1,2,3\}$ such that (i) every vertex $v$ with $f(v)=-1$ has at least two neighbors assigned 2 under $f$ or one neighbor ...
L. Shahbazi   +3 more
doaj   +1 more source

Signed total Roman $k$-domination in directed graphs

open access: yesCommunications in Combinatorics and Optimization, 2016
Let $D$ be a finite and simple digraph with vertex set $V(D)$‎. ‎A signed total Roman $k$-dominating function (STR$k$DF) on‎ ‎$D$ is a function $f:V(D)\rightarrow\{-1‎, ‎1‎, ‎2\}$ satisfying the conditions‎ ‎that (i) $\sum_{x\in N^{-}(v)}f(x)\ge k ...
N. Dehgard, L. Volkmann
doaj   +1 more source

Nationalism, Myth and Reinterpretation of History: The Neglected Case of Interwar Yugoslavia [PDF]

open access: yes, 2012
This article discusses and challenges some popular myths and perceptions about interwar Yugoslavia in post-socialist (and post-Yugoslav) Serbia. These include discourses that blame ‘others’ – ‘treacherous’ Croats and other non-Serbs, the ‘perfidious ...
Djokic, Dejan
core   +1 more source

Signed Total Roman Edge Domination In Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2017
Let G = (V,E) be a simple graph with vertex set V and edge set E. A signed total Roman edge dominating function of G is a function f : Ʃ → {−1, 1, 2} satisfying the conditions that (i) Ʃe′∈N(e) f(e′) ≥ 1 for each e ∈ E, where N(e) is the open ...
Asgharsharghi Leila   +1 more
doaj   +1 more source

The Signed Total Roman k-Domatic Number Of A Graph

open access: yesDiscussiones Mathematicae Graph Theory, 2017
Let k ≥ 1 be an integer. A signed total Roman k-dominating function on a graph G is a function f : V (G) → {−1, 1, 2} such that Ʃu2N(v) f(u) ≥ k for every v ∈ V (G), where N(v) is the neighborhood of v, and every vertex u ∈ V (G) for which f(u) = −1 is ...
Volkmann Lutz
doaj   +1 more source

Nonnegative signed total Roman domination in graphs

open access: yesCommunications in Combinatorics and Optimization, 2020
Let $G$ be a finite and simple graph with vertex set $V(G)$. A nonnegative signed total Roman dominating function (NNSTRDF) on a graph $G$ is a function $f:V(G)\rightarrow\{-1, 1, 2\}$ satisfying the conditions that (i) $\sum_{x\in N(v)}f(x)\ge 0$ for
Nasrin Dehgardi, Lutz Volkmann
doaj   +1 more source

Signed Total Roman Domination in Digraphs

open access: yesDiscussiones Mathematicae Graph Theory, 2017
Let D be a finite and simple digraph with vertex set V (D). A signed total Roman dominating function (STRDF) on a digraph D is a function f : V (D) → {−1, 1, 2} satisfying the conditions that (i) ∑x∈N−(v)f(x) ≥ 1 for each v ∈ V (D), where N−(v) consists ...
Volkmann Lutz
doaj   +1 more source

Complexity and coherence [PDF]

open access: yes, 2012
Leslie Topp traces the emergence of the asylum mortuary as an architectural challenge. Drawing on new archival research, Complexity and Coherence: The Challenge of the Asylum Mortuary in Central Europe, 1898–1908 unpacks the highly fraught combination of
Topp, Leslie
core   +1 more source

Versatile Digital GHz Phase Lock for External Cavity Diode Lasers

open access: yes, 2009
We present a versatile, inexpensive and simple optical phase lock for applications in atomic physics experiments. Thanks to all-digital phase detection and implementation of beat frequency pre-scaling, the apparatus requires no microwave-range reference ...
Appel, Jürgen   +2 more
core   +1 more source

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