Matches in SemOpenAlex for { <https://semopenalex.org/work/W2963129494> ?p ?o ?g. }
Showing items 1 to 68 of
68
with 100 items per page.
- W2963129494 endingPage "296" @default.
- W2963129494 startingPage "269" @default.
- W2963129494 abstract "Given a group $G$, we define the power graph $mathcal{P}(G)$ as follows: the vertices are the elements of $G$ and two vertices $x$ and $y$ are joined by an edge if $langle xranglesubseteq langle yrangle$ or $langle yranglesubseteq langle xrangle$. Obviously the power graph of any group is always connected, because the identity element of the group is adjacent to all other vertices. In the present paper, among other results, we will find the number of spanning trees of the power graph associated with specific finite groups. We also determine, up to isomorphism, the structure of a finite group $G$ whose power graph has exactly $n$ spanning trees, for $n<5^3$. Finally, we show that the alternating group $mathbb{A}_5$ is uniquely determined by tree-number of its power graph among all finite simple groups." @default.
- W2963129494 created "2019-07-30" @default.
- W2963129494 creator A5038150100 @default.
- W2963129494 creator A5048702939 @default.
- W2963129494 creator A5063885385 @default.
- W2963129494 creator A5075092607 @default.
- W2963129494 date "2017-05-01" @default.
- W2963129494 modified "2023-09-23" @default.
- W2963129494 title "The number of spanning trees of power graphs associated with specific groups and some applications." @default.
- W2963129494 hasPublicationYear "2017" @default.
- W2963129494 type Work @default.
- W2963129494 sameAs 2963129494 @default.
- W2963129494 citedByCount "2" @default.
- W2963129494 countsByYear W29631294942016 @default.
- W2963129494 countsByYear W29631294942018 @default.
- W2963129494 crossrefType "journal-article" @default.
- W2963129494 hasAuthorship W2963129494A5038150100 @default.
- W2963129494 hasAuthorship W2963129494A5048702939 @default.
- W2963129494 hasAuthorship W2963129494A5063885385 @default.
- W2963129494 hasAuthorship W2963129494A5075092607 @default.
- W2963129494 hasConcept C114614502 @default.
- W2963129494 hasConcept C115624301 @default.
- W2963129494 hasConcept C118615104 @default.
- W2963129494 hasConcept C132525143 @default.
- W2963129494 hasConcept C185592680 @default.
- W2963129494 hasConcept C203436722 @default.
- W2963129494 hasConcept C33923547 @default.
- W2963129494 hasConcept C64331007 @default.
- W2963129494 hasConcept C8010536 @default.
- W2963129494 hasConceptScore W2963129494C114614502 @default.
- W2963129494 hasConceptScore W2963129494C115624301 @default.
- W2963129494 hasConceptScore W2963129494C118615104 @default.
- W2963129494 hasConceptScore W2963129494C132525143 @default.
- W2963129494 hasConceptScore W2963129494C185592680 @default.
- W2963129494 hasConceptScore W2963129494C203436722 @default.
- W2963129494 hasConceptScore W2963129494C33923547 @default.
- W2963129494 hasConceptScore W2963129494C64331007 @default.
- W2963129494 hasConceptScore W2963129494C8010536 @default.
- W2963129494 hasLocation W29631294941 @default.
- W2963129494 hasOpenAccess W2963129494 @default.
- W2963129494 hasPrimaryLocation W29631294941 @default.
- W2963129494 hasRelatedWork W132858928 @default.
- W2963129494 hasRelatedWork W1591685386 @default.
- W2963129494 hasRelatedWork W2006711153 @default.
- W2963129494 hasRelatedWork W2012577339 @default.
- W2963129494 hasRelatedWork W2045906340 @default.
- W2963129494 hasRelatedWork W2063734883 @default.
- W2963129494 hasRelatedWork W2072356398 @default.
- W2963129494 hasRelatedWork W2074335600 @default.
- W2963129494 hasRelatedWork W2084692244 @default.
- W2963129494 hasRelatedWork W2134304205 @default.
- W2963129494 hasRelatedWork W2213271690 @default.
- W2963129494 hasRelatedWork W2741445725 @default.
- W2963129494 hasRelatedWork W2742849155 @default.
- W2963129494 hasRelatedWork W2771942519 @default.
- W2963129494 hasRelatedWork W2963306534 @default.
- W2963129494 hasRelatedWork W2963566758 @default.
- W2963129494 hasRelatedWork W2979391115 @default.
- W2963129494 hasRelatedWork W2994628207 @default.
- W2963129494 hasRelatedWork W2410872063 @default.
- W2963129494 hasRelatedWork W2742042220 @default.
- W2963129494 hasVolume "133" @default.
- W2963129494 isParatext "false" @default.
- W2963129494 isRetracted "false" @default.
- W2963129494 magId "2963129494" @default.
- W2963129494 workType "article" @default.