Homomorphisms of complete n-partite graphs
It is shown that for every homomorphism ϕ of a graph G there exists a contraction θϕ on G¯, the complement of G, such that ϕ(G)¯=θϕ(G¯) if and only if G is a complete n-partite graph.
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1986-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171286000224 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832564254464540672 |
|---|---|
| author | Robert D. Girse |
| author_facet | Robert D. Girse |
| author_sort | Robert D. Girse |
| collection | DOAJ |
| description | It is shown that for every homomorphism ϕ of a graph G there exists a contraction θϕ on G¯, the complement of G, such that ϕ(G)¯=θϕ(G¯) if and only if G is a complete n-partite graph. |
| format | Article |
| id | doaj-art-3572e21155124c539cee4b2deba07cb6 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1986-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3572e21155124c539cee4b2deba07cb62025-02-03T01:11:29ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251986-01-019119319510.1155/S0161171286000224Homomorphisms of complete n-partite graphsRobert D. Girse0Department of Mathematics, Idaho State University, Pocatello 83209–0009, Idaho, USAIt is shown that for every homomorphism ϕ of a graph G there exists a contraction θϕ on G¯, the complement of G, such that ϕ(G)¯=θϕ(G¯) if and only if G is a complete n-partite graph.http://dx.doi.org/10.1155/S0161171286000224homomorphisms of graphscontractions of graphscomplete n-partite graph. |
| spellingShingle | Robert D. Girse Homomorphisms of complete n-partite graphs International Journal of Mathematics and Mathematical Sciences homomorphisms of graphs contractions of graphs complete n-partite graph. |
| title | Homomorphisms of complete n-partite graphs |
| title_full | Homomorphisms of complete n-partite graphs |
| title_fullStr | Homomorphisms of complete n-partite graphs |
| title_full_unstemmed | Homomorphisms of complete n-partite graphs |
| title_short | Homomorphisms of complete n-partite graphs |
| title_sort | homomorphisms of complete n partite graphs |
| topic | homomorphisms of graphs contractions of graphs complete n-partite graph. |
| url | http://dx.doi.org/10.1155/S0161171286000224 |
| work_keys_str_mv | AT robertdgirse homomorphismsofcompletenpartitegraphs |