Matches in SemOpenAlex for { <https://semopenalex.org/work/W2022283705> ?p ?o ?g. }
Showing items 1 to 88 of
88
with 100 items per page.
- W2022283705 endingPage "341" @default.
- W2022283705 startingPage "334" @default.
- W2022283705 abstract "Let G be a simple graph of order n with vertex set V = { v 1 , v 2 , … , v n } . Also let μ 1 ( G ) ≥ μ 2 ( G ) ≥ ⋯ ≥ μ n − 1 ( G ) ≥ μ n ( G ) = 0 and q 1 ( G ) ≥ q 2 ( G ) ≥ ⋯ ≥ q n ( G ) ≥ 0 be the Laplacian eigenvalues and signless Laplacian eigenvalues of G , respectively. In this paper we obtain μ i ( G ) ≤ i − 1 + min U i max { | N H ( v k ) ∪ N H ( v j ) | : v k v j ∈ E ( H ) } , where N H ( v k ) is the set of neighbors of vertex v k in V ( H ) = V ( G ) U i , U i is any ( i − 1 ) -subset of V ( G ) (here, we agree that i ∈ { 1 , … , n − 1 } and μ i ( G ) ≤ i − 1 if E ( H ) = ∅ ). For any graph G , this bound does not exceed the order of G . Moreover, we prove that max { μ i ( G ) , q i ( G ) } ≤ max i ≤ k ≤ n { d G ( v k ) + ∑ v j ∈ N G ( v k ) ∩ N d G ( v j ) d G ( v k ) } ≤ 2 d G ( v i ) , where d G ( v i ) is the i -th largest degree of G and N = { v i , v i + 1 , … , v n } ." @default.
- W2022283705 created "2016-06-24" @default.
- W2022283705 creator A5051728445 @default.
- W2022283705 creator A5061685832 @default.
- W2022283705 creator A5076229821 @default.
- W2022283705 date "2014-10-01" @default.
- W2022283705 modified "2023-10-03" @default.
- W2022283705 title "Upper bounds on the (signless) Laplacian eigenvalues of graphs" @default.
- W2022283705 cites W1963880243 @default.
- W2022283705 cites W1966432171 @default.
- W2022283705 cites W2009233867 @default.
- W2022283705 cites W2019097059 @default.
- W2022283705 cites W2022806502 @default.
- W2022283705 cites W2045855145 @default.
- W2022283705 cites W2047054015 @default.
- W2022283705 cites W2060493211 @default.
- W2022283705 cites W2074725044 @default.
- W2022283705 cites W2087268502 @default.
- W2022283705 cites W2088008046 @default.
- W2022283705 cites W2089820643 @default.
- W2022283705 cites W2138263544 @default.
- W2022283705 cites W2144267444 @default.
- W2022283705 cites W222718614 @default.
- W2022283705 cites W2477997411 @default.
- W2022283705 cites W2610857016 @default.
- W2022283705 doi "https://doi.org/10.1016/j.laa.2014.07.018" @default.
- W2022283705 hasPublicationYear "2014" @default.
- W2022283705 type Work @default.
- W2022283705 sameAs 2022283705 @default.
- W2022283705 citedByCount "3" @default.
- W2022283705 countsByYear W20222837052018 @default.
- W2022283705 countsByYear W20222837052019 @default.
- W2022283705 countsByYear W20222837052020 @default.
- W2022283705 crossrefType "journal-article" @default.
- W2022283705 hasAuthorship W2022283705A5051728445 @default.
- W2022283705 hasAuthorship W2022283705A5061685832 @default.
- W2022283705 hasAuthorship W2022283705A5076229821 @default.
- W2022283705 hasConcept C10138342 @default.
- W2022283705 hasConcept C114614502 @default.
- W2022283705 hasConcept C121332964 @default.
- W2022283705 hasConcept C132525143 @default.
- W2022283705 hasConcept C134306372 @default.
- W2022283705 hasConcept C158693339 @default.
- W2022283705 hasConcept C162324750 @default.
- W2022283705 hasConcept C165700671 @default.
- W2022283705 hasConcept C182306322 @default.
- W2022283705 hasConcept C2993105083 @default.
- W2022283705 hasConcept C33923547 @default.
- W2022283705 hasConcept C62520636 @default.
- W2022283705 hasConcept C77553402 @default.
- W2022283705 hasConcept C80899671 @default.
- W2022283705 hasConceptScore W2022283705C10138342 @default.
- W2022283705 hasConceptScore W2022283705C114614502 @default.
- W2022283705 hasConceptScore W2022283705C121332964 @default.
- W2022283705 hasConceptScore W2022283705C132525143 @default.
- W2022283705 hasConceptScore W2022283705C134306372 @default.
- W2022283705 hasConceptScore W2022283705C158693339 @default.
- W2022283705 hasConceptScore W2022283705C162324750 @default.
- W2022283705 hasConceptScore W2022283705C165700671 @default.
- W2022283705 hasConceptScore W2022283705C182306322 @default.
- W2022283705 hasConceptScore W2022283705C2993105083 @default.
- W2022283705 hasConceptScore W2022283705C33923547 @default.
- W2022283705 hasConceptScore W2022283705C62520636 @default.
- W2022283705 hasConceptScore W2022283705C77553402 @default.
- W2022283705 hasConceptScore W2022283705C80899671 @default.
- W2022283705 hasFunder F4320321001 @default.
- W2022283705 hasFunder F4320322120 @default.
- W2022283705 hasFunder F4320322769 @default.
- W2022283705 hasLocation W20222837051 @default.
- W2022283705 hasOpenAccess W2022283705 @default.
- W2022283705 hasPrimaryLocation W20222837051 @default.
- W2022283705 hasRelatedWork W1630142532 @default.
- W2022283705 hasRelatedWork W2010965931 @default.
- W2022283705 hasRelatedWork W2022283705 @default.
- W2022283705 hasRelatedWork W2220507833 @default.
- W2022283705 hasRelatedWork W2383129606 @default.
- W2022283705 hasRelatedWork W2389775998 @default.
- W2022283705 hasRelatedWork W2492201075 @default.
- W2022283705 hasRelatedWork W2781442522 @default.
- W2022283705 hasRelatedWork W2964025594 @default.
- W2022283705 hasRelatedWork W3116969954 @default.
- W2022283705 hasVolume "459" @default.
- W2022283705 isParatext "false" @default.
- W2022283705 isRetracted "false" @default.
- W2022283705 magId "2022283705" @default.
- W2022283705 workType "article" @default.