| Naslov: | The core of a vertex transitive complementary prism of a lexicographic product |
|---|
| Avtorji: | ID Orel, Marko (Avtor) |
|---|
| Datoteke: |  PDF - Predstavitvena datoteka, prenos (411,68 KB)
MD5: 3209C9D25F6F6B0222A52580588C4261
 URL - Izvorni URL, za dostop obiščite https://adam-journal.eu/index.php/ADAM/article/view/1623
|
|---|
| Jezik: | Angleški jezik |
|---|
| Tipologija: | 1.01 - Izvirni znanstveni članek |
|---|
| Organizacija: |  IMFM - Inštitut za matematiko, fiziko in mehaniko
|
|---|
| Povzetek: | The complementary prism of a graph $\Gamma$ is the graph $\Gamma \overline{\Gamma}$, which is formed from the union of $\Gamma$ and its complement $\overline{\Gamma}$ by adding an edge between each pair of identical vertices in $\Gamma$ and $\overline{\Gamma}$. Vertex-transitive self-complementary graphs provide vertex-transitive complementary prisms. It was recently proved by the author that $\Gamma \overline{\Gamma}$ is a core, i.e. all its endomorphisms are automorphisms, whenever $\Gamma$ is vertex-transitive, self-complementary, and either $\Gamma$ is a core or its core is a complete graph. In this paper the same conclusion is obtained for some other classes of vertex-transitive self-complementary graphs that can be decomposed as a lexicographic product $\Gamma = \Gamma_1 [\Gamma_2]$. In the process some new results aboutthe homomorphisms of a lexicographic product are obtained. |
|---|
| Ključne besede: | graph homomorphism, core, complementary prism, self-complementary graph, vertex-transitive graph, lexicographic product |
|---|
| Status publikacije: | Objavljeno |
|---|
| Verzija publikacije: | Objavljena publikacija |
|---|
| Datum objave: | 01.01.2023 |
|---|
| Leto izida: | 2023 |
|---|
| Št. strani: | str. 1-12 |
|---|
| Številčenje: | Vol. 6, iss. 3 |
|---|
| PID: | 20.500.12556/DiRROS-18462  |
|---|
| UDK: | 519.17 |
|---|
| ISSN pri članku: | 2590-9770 |
|---|
| DOI: | 10.26493/2590-9770.1623.7f0 |
|---|
| COBISS.SI-ID: | 145671427 |
|---|
| Opomba: |
|
|---|
| Datum objave v DiRROS: | 19.03.2024 |
|---|
| Število ogledov: | 951 |
|---|
| Število prenosov: | 599 |
|---|
| Metapodatki: |    |
|---|
|
:
|
Kopiraj citat |
|---|
| | | | Objavi na: |  |
|---|
Postavite miškin kazalec na naslov za izpis povzetka. Klik na naslov izpiše
podrobnosti ali sproži prenos. |
