| Title: | Splittable and unsplittable graphs and configurations |
|---|
| Authors: | ID Bašić, Nino (Author)
ID Grošelj, Jan (Author)
ID Grünbaum, Branko (Author)
ID Pisanski, Tomaž (Author) |
|---|
| Files: |  RAZ_Basic_Nino_i2019.pdf (355,79 KB)
MD5: 58041896E2415F83545856E7417F31C4
|
|---|
| Language: | English |
|---|
| Work type: | Unknown |
|---|
| Typology: | 1.01 - Original Scientific Article |
|---|
| Organization: | ZUP - University of Primorska Press
|
|---|
| Abstract: | We prove that there exist infinitely many splittable and also infinitely many unsplittable cyclic ▫$(n_3)$▫ configurations. We also present a complete study of trivalent cyclic Haar graphs on at most 60 vertices with respect to splittability. Finally, we show that all cyclic flag-transitive configurations with the exception of the Fano plane and the Möbius-Kantor configuration are splittable. |
|---|
| Keywords: | configuration of points and lines, unsplittable configuration, unsplittable graph, independent set, Levi graph, Grünbaum graph, splitting type, cyclic Haar graph |
|---|
| Year of publishing: | 2019 |
|---|
| Number of pages: | str. 1-17 |
|---|
| Numbering: | Vol. 16, no. 1 |
|---|
| PID: | 20.500.12556/RUP-17632  |
|---|
| UDC: | 519.14 |
|---|
| ISSN on article: | 1855-3966 |
|---|
| DOI: | 10.26493/1855-3974.1467.04b |
|---|
| COBISS.SI-ID: | 18699097 |
|---|
| Publication date in RUP: | 03.01.2022 |
|---|
| Views: | 1313 |
|---|
| Downloads: | 20 |
|---|
| Metadata: |    |
|---|
|
:
|
Copy citation |
|---|
| | | | Average score: | (0 votes) |
|---|
| Your score: | Voting is allowed only for logged in users. |
|---|
| Share: |  |
|---|
Hover the mouse pointer over a document title to show the abstract or click
on the title to get all document metadata. |
