| Naslov: | On the metric subgraphs of a graph |
|---|
| Avtorji: | ID Hu, Yanan (Avtor)
ID Zhan, Xingzhi (Avtor) |
|---|
| Datoteke: |  AMC_Hu_Yanan_Zhan_Xingzhi_2025.pdf (533,77 KB)
MD5: 4B5F4704029CE1F0DD7FAE1F1BECA81F
 https://amc-journal.eu/index.php/amc/article/view/2992
|
|---|
| Jezik: | Angleški jezik |
|---|
| Vrsta gradiva: | Članek v reviji |
|---|
| Tipologija: | 1.01 - Izvirni znanstveni članek |
|---|
| Organizacija: | FAMNIT - Fakulteta za matematiko, naravoslovje in informacijske tehnologije
|
|---|
| Opis: | The three subgraphs of a connected graph induced by the center, annulus and periphery are called its metric subgraphs. The main results are as follows. (1) There exists a graph of order n whose metric subgraphs are all paths if and only if n ≥ 13 and the smallest size of such a graph of order 13 is 22; (2) there exists a graph of order n whose metric subgraphs are all cycles if and only if n ≥ 15, and there are exactly three such graphs of order 15; (3) for every integer k ≥ 3, we determine the possible orders for the existence of a graph whose metric subgraphs are all connected k-regular graphs; (4) there exists a graph of order n whose metric subgraphs are connected and pairwise isomorphic if and only if n ≥ 24 and n is divisible by 3. An unsolved problem is posed. |
|---|
| Ključne besede: | center, annulus, periphery, metric subgraphs, path, cycle |
|---|
| Verzija publikacije: | Objavljena publikacija |
|---|
| Datum objave: | 11.02.2025 |
|---|
| Leto izida: | 2025 |
|---|
| Št. strani: | 13 |
|---|
| Številčenje: | Vol. 25, no. 1, [article no.] P1.03 |
|---|
| PID: | 20.500.12556/RUP-21747  |
|---|
| ISSN: | 1855-3966 |
|---|
| UDK: | 519.17 |
|---|
| eISSN: | 1855-3974 |
|---|
| DOI: | 10.26493/1855-3974.2992.a6d |
|---|
| Datum objave v RUP: | 16.09.2025 |
|---|
| Število ogledov: | 326 |
|---|
| Število prenosov: | 8 |
|---|
| Metapodatki: |    |
|---|
|
:
|
Kopiraj citat |
|---|
| | | | Skupna ocena: | (0 glasov) |
|---|
| Vaša ocena: | Ocenjevanje je dovoljeno samo prijavljenim uporabnikom. |
|---|
| Objavi na: |  |
|---|
Postavite miškin kazalec na naslov za izpis povzetka. Klik na naslov izpiše
podrobnosti ali sproži prenos. |
