Matches in SemOpenAlex for { <https://semopenalex.org/work/W3107897276> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W3107897276 endingPage "1948" @default.
- W3107897276 startingPage "1948" @default.
- W3107897276 abstract "This paper introduces a general approach to the idea of protection of graphs, which encompasses the known variants of secure domination and introduces new ones. Specifically, we introduce the study of secure w-domination in graphs, where w=(w0,w1,…,wl) is a vector of nonnegative integers such that w0≥1. The secure w-domination number is defined as follows. Let G be a graph and N(v) the open neighborhood of v∈V(G). We say that a function f:V(G)⟶{0,1,…,l} is a w-dominating function if f(N(v))=∑u∈N(v)f(u)≥wi for every vertex v with f(v)=i. The weight of f is defined to be ω(f)=∑v∈V(G)f(v). Given a w-dominating function f and any pair of adjacent vertices v,u∈V(G) with f(v)=0 and f(u)>0, the function fu→v is defined by fu→v(v)=1, fu→v(u)=f(u)−1 and fu→v(x)=f(x) for every x∈V(G){u,v}. We say that a w-dominating function f is a secure w-dominating function if for every v with f(v)=0, there exists u∈N(v) such that f(u)>0 and fu→v is a w-dominating function as well. The secure w-domination number of G, denoted by γws(G), is the minimum weight among all secure w-dominating functions. This paper provides fundamental results on γws(G) and raises the challenge of conducting a detailed study of the topic." @default.
- W3107897276 created "2020-12-07" @default.
- W3107897276 creator A5000212299 @default.
- W3107897276 creator A5034667032 @default.
- W3107897276 creator A5066088171 @default.
- W3107897276 date "2020-11-25" @default.
- W3107897276 modified "2023-10-17" @default.
- W3107897276 title "Secure w-Domination in Graphs" @default.
- W3107897276 cites W1992650104 @default.
- W3107897276 cites W2003781275 @default.
- W3107897276 cites W2030816276 @default.
- W3107897276 cites W2087928776 @default.
- W3107897276 cites W248890345 @default.
- W3107897276 cites W2586796145 @default.
- W3107897276 cites W2789376328 @default.
- W3107897276 cites W2951992432 @default.
- W3107897276 cites W2962962076 @default.
- W3107897276 cites W2972439460 @default.
- W3107897276 cites W2981008656 @default.
- W3107897276 cites W2990668145 @default.
- W3107897276 cites W3015306834 @default.
- W3107897276 cites W3017862626 @default.
- W3107897276 cites W3097295197 @default.
- W3107897276 doi "https://doi.org/10.3390/sym12121948" @default.
- W3107897276 hasPublicationYear "2020" @default.
- W3107897276 type Work @default.
- W3107897276 sameAs 3107897276 @default.
- W3107897276 citedByCount "3" @default.
- W3107897276 countsByYear W31078972762021 @default.
- W3107897276 countsByYear W31078972762022 @default.
- W3107897276 crossrefType "journal-article" @default.
- W3107897276 hasAuthorship W3107897276A5000212299 @default.
- W3107897276 hasAuthorship W3107897276A5034667032 @default.
- W3107897276 hasAuthorship W3107897276A5066088171 @default.
- W3107897276 hasBestOaLocation W31078972761 @default.
- W3107897276 hasConcept C114614502 @default.
- W3107897276 hasConcept C118615104 @default.
- W3107897276 hasConcept C121332964 @default.
- W3107897276 hasConcept C132525143 @default.
- W3107897276 hasConcept C14036430 @default.
- W3107897276 hasConcept C146661039 @default.
- W3107897276 hasConcept C33923547 @default.
- W3107897276 hasConcept C78458016 @default.
- W3107897276 hasConcept C80899671 @default.
- W3107897276 hasConcept C83833204 @default.
- W3107897276 hasConcept C86803240 @default.
- W3107897276 hasConceptScore W3107897276C114614502 @default.
- W3107897276 hasConceptScore W3107897276C118615104 @default.
- W3107897276 hasConceptScore W3107897276C121332964 @default.
- W3107897276 hasConceptScore W3107897276C132525143 @default.
- W3107897276 hasConceptScore W3107897276C14036430 @default.
- W3107897276 hasConceptScore W3107897276C146661039 @default.
- W3107897276 hasConceptScore W3107897276C33923547 @default.
- W3107897276 hasConceptScore W3107897276C78458016 @default.
- W3107897276 hasConceptScore W3107897276C80899671 @default.
- W3107897276 hasConceptScore W3107897276C83833204 @default.
- W3107897276 hasConceptScore W3107897276C86803240 @default.
- W3107897276 hasIssue "12" @default.
- W3107897276 hasLocation W31078972761 @default.
- W3107897276 hasLocation W31078972762 @default.
- W3107897276 hasOpenAccess W3107897276 @default.
- W3107897276 hasPrimaryLocation W31078972761 @default.
- W3107897276 hasRelatedWork W2033190383 @default.
- W3107897276 hasRelatedWork W2339280209 @default.
- W3107897276 hasRelatedWork W2746709563 @default.
- W3107897276 hasRelatedWork W2763279932 @default.
- W3107897276 hasRelatedWork W2794522194 @default.
- W3107897276 hasRelatedWork W2963404550 @default.
- W3107897276 hasRelatedWork W30750922 @default.
- W3107897276 hasRelatedWork W3118953946 @default.
- W3107897276 hasRelatedWork W4235356280 @default.
- W3107897276 hasRelatedWork W4299822763 @default.
- W3107897276 hasVolume "12" @default.
- W3107897276 isParatext "false" @default.
- W3107897276 isRetracted "false" @default.
- W3107897276 magId "3107897276" @default.
- W3107897276 workType "article" @default.