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Graphs and Combinatorics, ISSN 0911-0119, 9/2016, Volume 32, Issue 5, pp. 1731 - 1747
... with $$f(e)=0$$ f ( e ) = 0 is adjacent to some edge $$e'$$ e ′ with $$f(e')=2$$ f ( e ′ ) = 2 . The edge Roman domination number of G, denoted... 
K_{2, 3}$$ K 2 , 3 -subdivision-free graph | Edge Roman domination | Planar graph | Subcubic graph | Mathematics | Engineering Design | Combinatorics | k -degenerate graph | subdivision-free graph | k-degenerate graph | MATHEMATICS | K-2,K-3-subdivision-free graph
Journal Article
Journal of Combinatorial Optimization, ISSN 1382-6905, 1/2016, Volume 31, Issue 1, pp. 333 - 346
...$$ G , is called the signed Roman edge domination number of $$G$$ G and is denoted by $$\gamma _{sR}'(G)$$ γ s R ′ ( G ) . In this note we initiate the study of the signed Roman edge domination in graphs and present... 
Convex and Discrete Geometry | Signed Roman dominating function | Signed Roman edge domination number | Mathematics | Theory of Computation | Mathematical Modeling and Industrial Mathematics | Operation Research/Decision Theory | Combinatorics | 05C69 | Signed Roman domination number | Signed Roman edge dominating function | Optimization | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Journal Article
Discussiones Mathematicae Graph Theory, ISSN 1234-3099, 11/2017, Volume 37, Issue 4, pp. 1039 - 1053
Journal Article
Discussiones Mathematicae. Graph Theory, ISSN 2083-5892, 2017, Volume 37, Issue 1, pp. 39 - 53
... for which ) = −1 is adjacent to at least one edge ′ for which ′) = 2. The minimum of the values ∑ ), taken over all signed Roman edge -dominating functions of is called the signed Roman edge -domination number of , and is denoted by γ... 
dominating function | domination number | 05C69 | signed Roman edge | Signed Roman edge k-dominating function | Signed Roman edge k-domination number | MATHEMATICS | signed Roman edge k-domination number | signed Roman edge k-dominating function
Journal Article
Discrete mathematics, ISSN 0012-365X, 2009, Volume 309, Issue 19, pp. 5820 - 5827
... − X is adjacent to a vertex v ∈ X such that ( X − { v } ) ∪ { u } is dominating. The minimum cardinality of such a set is called the secure domination number, denoted by γ s ( G... 
ER-critical graph | Protection of a graph | Edge-removal-critical graph | Secure domination | MATHEMATICS | ROMAN-EMPIRE | TREES | PROTECTION
Journal Article
by Rad, NJ
ARS COMBINATORIA, ISSN 0381-7032, 01/2017, Volume 131, pp. 355 - 372
...(u is an element of V(G)) f(u). The Roman domination number, (gamma R)(G), of G is the minimum weight of a Roman dominating function on G... 
Domination | MATHEMATICS | Roman domination | Roman domination edge critical
Journal Article
Electronic journal of graph theory and applications, ISSN 2338-2287, 2017, Volume 5, Issue 1, pp. 1 - 6
...)$. The edge Roman domination number of $G$, denoted by $\gamma_R'(G)$, is the minimum weight of an edge... 
Tree | Edge domination | Edge Roman domination | edge domination, edge roman domination, tree
Journal Article
Communications in combinatorics and optimization, ISSN 2538-2128, 01/2017, Volume 2, Issue 1, pp. 57 - 64
... $k$-dominating functions $f$ of‎ ‎$G$‎, ‎is called the signed Roman edge $k$-domination number of $G$‎ ‎and is denoted by $\gamma'_{sRk}(G... 
Signed Roman edge $k$-domination number | Signed Roman edge $k$-dominating function
Journal Article
Journal of Combinatorial Mathematics and Combinatorial Computing, ISSN 0835-3026, 05/2009, Volume 69, pp. 175 - 182
Journal Article
Journal of Combinatorial Optimization, ISSN 1382-6905, 2/2017, Volume 33, Issue 2, pp. 365 - 372
Journal Article
Discrete mathematics and theoretical computer science, ISSN 1462-7264, 2015, Volume 17, Issue 1, pp. 103 - 122
...} is again a dominating set of G. The secure domination number of G is the cardinality of a smallest secure dominating set of G... 
Edge removal | Graph protection | Secure domination | Computer Science | Discrete Mathematics
Journal Article
Computers & industrial engineering, ISSN 0360-8352, 11/2017, Volume 113, pp. 282 - 293
•Two genetic algorithms (GA) for solving the minimum edge-dilation k-center (MEDKC) problem are proposed.•Two different representation schemes are based on... 
Edge-dilation k center | Combinatorial optimization | Minimum stretch | Genetic algorithms | SEARCH HEURISTICS | STRETCH | TABU | MODEL | VEHICLE-ROUTING PROBLEM | STRATEGIES | TABLES | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | OPTIMIZATION ALGORITHM | ENGINEERING, INDUSTRIAL
Journal Article
Journal Article
Romance Quarterly, ISSN 0883-1157, 04/2009, Volume 56, Issue 2, pp. 127 - 141
Journal Article
Planning Perspectives, ISSN 0266-5433, 07/2012, Volume 27, Issue 3, pp. 439 - 452
Defensive walls in historic cities represent an urban edge between the old fabric and adjacent urban growth layers. Through history, the wall functioned as a... 
Alexandria city | urban edge | spatial configuration analysis | defensive walls | Spatial configuration analysis | Urban edge | Defensive walls | HISTORY OF SOCIAL SCIENCES | ARCHITECTURE | HISTORY
Journal Article
Human ecology : an interdisciplinary journal, ISSN 0300-7839, 2/2006, Volume 34, Issue 1, pp. 53 - 77
Journal Article
04/2012, ISBN 1405195479, 13
Book Chapter
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