Matches in SemOpenAlex for { <https://semopenalex.org/work/W2559282776> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W2559282776 abstract "This thesis is broadly concerned with two problems: obtaining the mathematical model of the specific infinite self-similar graph, and investigating the connectedness of the tree-like graph in order to show its relation to the associated hyperbolic space. Our main result concerning the former problem is that, in a variety of situations, the self-similar infinite structure obtained by using our method as the graph product of a disconnected finite graph and regular rooted tree can be connected (i.e. have the hyperbolic metric space associated to it). This addresses a question about the existence of the optimal depth for the breadth-first search algorithm and also has possible applications to the recent research topics in Psychological and Brain Sciences. We approach the connectedness problem by showing the similarity of obtained geometric structures to well known algebraic structures such as groupoid and pseudogroup. One of our main results is that, under the assumption that the emerged geometric self-similar structure is connected, it is naturally associated to the hyperbolic metric space. Thus, the variety of well known methods can be applied in further study. We also show that the connectedness of our structure can be reached in the finite number of steps or can not be reached at all. This gives the grounds for the optimal application of the breadth-first search algorithm." @default.
- W2559282776 created "2016-12-08" @default.
- W2559282776 creator A5022699895 @default.
- W2559282776 date "2016-01-01" @default.
- W2559282776 modified "2023-09-24" @default.
- W2559282776 title "Connectedness Properties of Self-Similar Graphs" @default.
- W2559282776 cites W1490263025 @default.
- W2559282776 cites W1516278578 @default.
- W2559282776 cites W1619814171 @default.
- W2559282776 cites W1658668992 @default.
- W2559282776 cites W1714295692 @default.
- W2559282776 cites W1970846037 @default.
- W2559282776 cites W1980342714 @default.
- W2559282776 cites W1987924998 @default.
- W2559282776 cites W1992112020 @default.
- W2559282776 cites W2003576269 @default.
- W2559282776 cites W2032121576 @default.
- W2559282776 cites W2039807511 @default.
- W2559282776 cites W2043851272 @default.
- W2559282776 cites W2078206416 @default.
- W2559282776 cites W2102488782 @default.
- W2559282776 cites W2104125400 @default.
- W2559282776 cites W2108389326 @default.
- W2559282776 cites W2117391947 @default.
- W2559282776 cites W2161420356 @default.
- W2559282776 cites W2213167558 @default.
- W2559282776 cites W2297975150 @default.
- W2559282776 cites W2314192334 @default.
- W2559282776 cites W2315665760 @default.
- W2559282776 cites W2478351687 @default.
- W2559282776 cites W2606484800 @default.
- W2559282776 cites W345545835 @default.
- W2559282776 cites W650959174 @default.
- W2559282776 hasPublicationYear "2016" @default.
- W2559282776 type Work @default.
- W2559282776 sameAs 2559282776 @default.
- W2559282776 citedByCount "0" @default.
- W2559282776 crossrefType "journal-article" @default.
- W2559282776 hasAuthorship W2559282776A5022699895 @default.
- W2559282776 hasConcept C105795698 @default.
- W2559282776 hasConcept C118615104 @default.
- W2559282776 hasConcept C132525143 @default.
- W2559282776 hasConcept C136197465 @default.
- W2559282776 hasConcept C15744967 @default.
- W2559282776 hasConcept C198043062 @default.
- W2559282776 hasConcept C201943243 @default.
- W2559282776 hasConcept C33923547 @default.
- W2559282776 hasConcept C542102704 @default.
- W2559282776 hasConceptScore W2559282776C105795698 @default.
- W2559282776 hasConceptScore W2559282776C118615104 @default.
- W2559282776 hasConceptScore W2559282776C132525143 @default.
- W2559282776 hasConceptScore W2559282776C136197465 @default.
- W2559282776 hasConceptScore W2559282776C15744967 @default.
- W2559282776 hasConceptScore W2559282776C198043062 @default.
- W2559282776 hasConceptScore W2559282776C201943243 @default.
- W2559282776 hasConceptScore W2559282776C33923547 @default.
- W2559282776 hasConceptScore W2559282776C542102704 @default.
- W2559282776 hasLocation W25592827761 @default.
- W2559282776 hasOpenAccess W2559282776 @default.
- W2559282776 hasPrimaryLocation W25592827761 @default.
- W2559282776 hasRelatedWork W1496376025 @default.
- W2559282776 hasRelatedWork W1499965630 @default.
- W2559282776 hasRelatedWork W2052271732 @default.
- W2559282776 hasRelatedWork W2466237742 @default.
- W2559282776 hasRelatedWork W2948446523 @default.
- W2559282776 hasRelatedWork W2951881330 @default.
- W2559282776 hasRelatedWork W2953384552 @default.
- W2559282776 hasRelatedWork W2964232763 @default.
- W2559282776 hasRelatedWork W2980569953 @default.
- W2559282776 hasRelatedWork W2990141699 @default.
- W2559282776 hasRelatedWork W3017170462 @default.
- W2559282776 hasRelatedWork W3092909784 @default.
- W2559282776 hasRelatedWork W3103453154 @default.
- W2559282776 hasRelatedWork W3111908130 @default.
- W2559282776 hasRelatedWork W3163338103 @default.
- W2559282776 hasRelatedWork W3175006033 @default.
- W2559282776 hasRelatedWork W3175737004 @default.
- W2559282776 hasRelatedWork W346360553 @default.
- W2559282776 hasRelatedWork W597438749 @default.
- W2559282776 hasRelatedWork W2899371057 @default.
- W2559282776 isParatext "false" @default.
- W2559282776 isRetracted "false" @default.
- W2559282776 magId "2559282776" @default.
- W2559282776 workType "article" @default.