Full metadata record
| DC pole | Hodnota | Jazyk |
|---|---|---|
| dc.contributor.author | Rollová, Edita | |
| dc.contributor.author | Schubert, Michael | |
| dc.contributor.author | Steffen, Eckhard | |
| dc.date.accessioned | 2022-02-28T11:00:28Z | - |
| dc.date.available | 2022-02-28T11:00:28Z | - |
| dc.date.issued | 2018 | |
| dc.identifier.citation | ROLLOVÁ, E. SCHUBERT, M. STEFFEN, E. Flows in signed graphs with two negative edges. Electronic Journal of Combinatorics, 2018, roč. 25, č. 2, s. 1-18. ISSN: 1077-8926 | cs |
| dc.identifier.issn | 1077-8926 | |
| dc.identifier.uri | 2-s2.0-85048345743 | |
| dc.identifier.uri | http://hdl.handle.net/11025/47056 | |
| dc.format | 18 s. | cs |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | en | en |
| dc.publisher | Australian National University | en |
| dc.relation.ispartofseries | Electronic Journal of Combinatorics | en |
| dc.rights | © author | en |
| dc.title | Flows in signed graphs with two negative edges | en |
| dc.type | článek | cs |
| dc.type | article | en |
| dc.rights.access | openAccess | en |
| dc.type.version | publishedVersion | en |
| dc.description.abstract-translated | The presented paper studies the flow number F(G, σ) of flow-admissible signed graphs (G, σ) with two negative edges. We restrict our study to cubic graphs, because for each non-cubic signed graph (G, σ) there is a set of cubic graphs obtained from (G, σ) such that the flow number of (G, σ) does not exceed the flow number of any of the cubic graphs. We prove that F(G, σ) 6 6 if (G, σ) contains a bridge, and F(G, σ) 6 7 in general. We prove better bounds, if there is a cubic graph (H, σH) obtained from (G, σ) which satisfies some additional conditions. In particular, if H is bipartite, then F(G, σ) 6 4 and the bound is tight. If H is 3-edge-colorable or critical or if it has a sufficient cyclic edge-connectivity, then F(G, σ) 6 6. Furthermore, if Tutte’s 5-Flow Conjecture is true, then (G, σ) admits a nowhere-zero 6-flow endowed with some strong properties. | en |
| dc.subject.translated | flows | en |
| dc.subject.translated | signed graphs | en |
| dc.subject.translated | negative edges | en |
| dc.identifier.doi | 10.37236/4458 | |
| dc.type.status | Peer-reviewed | en |
| dc.identifier.document-number | 440230000006 | |
| dc.identifier.obd | 43935089 | |
| dc.project.ID | GA17-04611S/Ramseyovské aspekty barvení grafů | cs |
| dc.project.ID | LO1506/PUNTIS - Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnost | cs |
| dc.project.ID | GA14-19503S/Barevnost a struktura grafů | cs |
| Vyskytuje se v kolekcích: | Články / Articles (KMA) OBD | |
Soubory připojené k záznamu:
| Soubor | Velikost | Formát | |
|---|---|---|---|
| 4458-PDF file-24595-2-10-20180608.pdf | 325,08 kB | Adobe PDF | Zobrazit/otevřít Vyžádat kopii |
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