Matches in SemOpenAlex for { <https://semopenalex.org/work/W2502174994> ?p ?o ?g. }
Showing items 1 to 78 of
78
with 100 items per page.
- W2502174994 abstract "Aside from ordered sets, the fixed point property has been investigated in other settings. On one hand, the fixed point property is most likely originated in topology. (See Exercise 6-1 for the topological fixed point property.) On the other hand, in any branch of mathematics in which the underlying structures have a natural type of morphism, we can define a fixed point property as “every endomorphism has a fixed point.” Hence, graphs are natural discrete structures for which to investigate the fixed point property. However, we must be careful: For graphs, the natural analogues of order-preserving maps would be the simplicial homomorphisms from Definition 6.1. Nonetheless, graph theorists prefer the notion of a (graph) homomorphism from Definition 6.10. It would be fruitless to argue whether simplicial homomorphisms or graph homomorphisms are “more natural.” Each notion is natural in certain settings: For example, simplicial homomorphisms are in one-to-one correspondence with the simplicial maps of the clique complex of a graph, as we will see in Exercise 9-19 when we investigate simplicial complexes, whereas we will see in this chapter that graph homomorphisms are a good framework to investigate natural graph theoretical topics, such as, for example, colorings." @default.
- W2502174994 created "2016-08-23" @default.
- W2502174994 creator A5002194196 @default.
- W2502174994 date "2016-01-01" @default.
- W2502174994 modified "2023-09-26" @default.
- W2502174994 title "Graphs and Homomorphisms" @default.
- W2502174994 doi "https://doi.org/10.1007/978-3-319-29788-0_6" @default.
- W2502174994 hasPublicationYear "2016" @default.
- W2502174994 type Work @default.
- W2502174994 sameAs 2502174994 @default.
- W2502174994 citedByCount "0" @default.
- W2502174994 crossrefType "book-chapter" @default.
- W2502174994 hasAuthorship W2502174994A5002194196 @default.
- W2502174994 hasConcept C105720234 @default.
- W2502174994 hasConcept C114614502 @default.
- W2502174994 hasConcept C118615104 @default.
- W2502174994 hasConcept C134306372 @default.
- W2502174994 hasConcept C137212723 @default.
- W2502174994 hasConcept C155366967 @default.
- W2502174994 hasConcept C187929450 @default.
- W2502174994 hasConcept C202444582 @default.
- W2502174994 hasConcept C206929604 @default.
- W2502174994 hasConcept C27333817 @default.
- W2502174994 hasConcept C28642324 @default.
- W2502174994 hasConcept C33923547 @default.
- W2502174994 hasConcept C3469331 @default.
- W2502174994 hasConcept C4042151 @default.
- W2502174994 hasConcept C45962547 @default.
- W2502174994 hasConcept C5961521 @default.
- W2502174994 hasConcept C61445026 @default.
- W2502174994 hasConcept C64245159 @default.
- W2502174994 hasConcept C79236096 @default.
- W2502174994 hasConceptScore W2502174994C105720234 @default.
- W2502174994 hasConceptScore W2502174994C114614502 @default.
- W2502174994 hasConceptScore W2502174994C118615104 @default.
- W2502174994 hasConceptScore W2502174994C134306372 @default.
- W2502174994 hasConceptScore W2502174994C137212723 @default.
- W2502174994 hasConceptScore W2502174994C155366967 @default.
- W2502174994 hasConceptScore W2502174994C187929450 @default.
- W2502174994 hasConceptScore W2502174994C202444582 @default.
- W2502174994 hasConceptScore W2502174994C206929604 @default.
- W2502174994 hasConceptScore W2502174994C27333817 @default.
- W2502174994 hasConceptScore W2502174994C28642324 @default.
- W2502174994 hasConceptScore W2502174994C33923547 @default.
- W2502174994 hasConceptScore W2502174994C3469331 @default.
- W2502174994 hasConceptScore W2502174994C4042151 @default.
- W2502174994 hasConceptScore W2502174994C45962547 @default.
- W2502174994 hasConceptScore W2502174994C5961521 @default.
- W2502174994 hasConceptScore W2502174994C61445026 @default.
- W2502174994 hasConceptScore W2502174994C64245159 @default.
- W2502174994 hasConceptScore W2502174994C79236096 @default.
- W2502174994 hasLocation W25021749941 @default.
- W2502174994 hasOpenAccess W2502174994 @default.
- W2502174994 hasPrimaryLocation W25021749941 @default.
- W2502174994 hasRelatedWork W1491029878 @default.
- W2502174994 hasRelatedWork W1681028366 @default.
- W2502174994 hasRelatedWork W1795840257 @default.
- W2502174994 hasRelatedWork W1942887994 @default.
- W2502174994 hasRelatedWork W1968271761 @default.
- W2502174994 hasRelatedWork W1994957743 @default.
- W2502174994 hasRelatedWork W2003851838 @default.
- W2502174994 hasRelatedWork W2078093849 @default.
- W2502174994 hasRelatedWork W2086664634 @default.
- W2502174994 hasRelatedWork W2113569543 @default.
- W2502174994 hasRelatedWork W2266963111 @default.
- W2502174994 hasRelatedWork W2654170033 @default.
- W2502174994 hasRelatedWork W2950215626 @default.
- W2502174994 hasRelatedWork W2964126179 @default.
- W2502174994 hasRelatedWork W2992297230 @default.
- W2502174994 hasRelatedWork W3146542902 @default.
- W2502174994 hasRelatedWork W3201287136 @default.
- W2502174994 hasRelatedWork W588170951 @default.
- W2502174994 hasRelatedWork W994353293 @default.
- W2502174994 hasRelatedWork W2064788829 @default.
- W2502174994 isParatext "false" @default.
- W2502174994 isRetracted "false" @default.
- W2502174994 magId "2502174994" @default.
- W2502174994 workType "book-chapter" @default.