| Naslov: | Arboreal structure and regular graphs of median-like classes |
|---|
| Avtorji: | ID Brešar, Boštjan (Avtor) |
|---|
| Datoteke: |  Discussiones_Mathematicae_Graph_Theory_2003_Bresar_Arboreal_structure_and_regular_graphs_of_median-like_classes.pdf (127,35 KB)
MD5: 90ED56DF748C8B8B97D4BD9C18DF3C11
 http://www.discuss.wmie.uz.zgora.pl/gt/index.php?doi=10.7151/dmgt.1198
|
|---|
| Jezik: | Angleški jezik |
|---|
| Vrsta gradiva: | Neznano |
|---|
| Tipologija: | 1.01 - Izvirni znanstveni članek |
|---|
| Organizacija: | FERI - Fakulteta za elektrotehniko, računalništvo in informatiko
|
|---|
| Opis: | We consider classes of graphs that enjoy the following properties: they are closed for gated subgraphs, gated amalgamation and Cartesian products, and for any gated subgraph the inverse of gate function maps vertices to gated subsets. We prove that any graph of such a class contains a peripheral subgraph which is a Cartesian product of two graphs: a gated subgraph and a prime graph minus a vertex. Therefore, these graphs admit a peripheral elimination procedure which is a generalization of analogous procedure in median graphs. We characterize regular graphs of these classes whenever they enjoy an additional properties. As a corollary we derive that regular weakly median graphs are precisely Cartesian products in which each factor is a complete graph or a hyperoctahedron. |
|---|
| Ključne besede: | mathematics, graph theory, median graph, tree, gatedness, amalgam, periphery, regular graph |
|---|
| Status publikacije: | Objavljeno |
|---|
| Verzija publikacije: | Objavljena publikacija |
|---|
| Leto izida: | 2003 |
|---|
| Št. strani: | str. 215-225 |
|---|
| Številčenje: | Letn. 23, št. 2 |
|---|
| PID: | 20.500.12556/DKUM-65334  |
|---|
| ISSN: | 1234-3099 |
|---|
| UDK: | 519.17 |
|---|
| COBISS.SI-ID: | 12602713 |
|---|
| ISSN pri članku: | 1234-3099 |
|---|
| NUK URN: | URN:SI:UM:DK:TLVY6BWE |
|---|
| Datum objave v DKUM: | 31.03.2017 |
|---|
| Število ogledov: | 1227 |
|---|
| Število prenosov: | 509 |
|---|
| Metapodatki: |    |
|---|
| Področja: | Ostalo
|
|---|
|
:
|
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. |
