Flows on flow-admissible signed graphs
WebApr 16, 2024 · This motivates us to study how to convert modulo flows into integer-valued flows for signed graphs. In this paper, we generalize some early results by Xu and Zhang (Discrete Math. 299, 2005 ... WebGraphs or signed graphs considered in this paper are finite and may have multiple edges or loops. For terminology and notations not defined here we follow [1,4,11]. In 1983, …
Flows on flow-admissible signed graphs
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WebMay 1, 2024 · Abstract. In 1983, Bouchet proposed a conjecture that every flow-admissible signed graph admits a nowhere-zero 6-flow. Bouchet himself proved that such signed … WebSep 1, 2024 · Let (G, σ) be a 2-edge-connected flow-admissible signed graph. In this paper, we prove that (G, ... Bouchet A Nowhere-zero integral flows on a bidirected …
WebAug 28, 2024 · In 1983, Bouchet proposed a conjecture that every flow-admissible signed graph admits a nowhere-zero $6$-flow. Bouchet himself proved that such signed … WebAbstract. This paper is devoted to a detailed study of nowhere-zero flows on signed eulerian graphs. We generalise the well-known fact about the existence of nowhere-zero 2 2 2 2-flows in eulerian graphs by proving that every signed eulerian graph that admits an integer nowhere-zero flow has a nowhere-zero 4 4 4 4-flow.We also characterise …
WebMany basic properties in Tutte's flow theory for unsigned graphs do not have their counterparts for signed graphs. However, signed graphs without long barbells in many ways behave like unsigned graphs from the point view of flows. In this paper, we study whether some basic properties in Tutte's flow theory remain valid for this family of … WebGraphs or signed graphs considered in this paper are finite and may have multiple edges or loops. For terminology and notations not defined here we follow [1,4,11]. In 1983, …
WebAug 28, 2024 · In 1983, Bouchet proposed a conjecture that every flow-admissible signed graph admits a nowhere-zero $6$-flow. Bouchet himself proved that such signed graphs admit nowhere-zero $216$-flows and Zyka further proved that such signed graphs admit nowhere-zero $30$-flows. In this paper we show that every flow-admissible signed …
WebMany basic properties in Tutte's flow theory for unsigned graphs do not have their counterparts for signed graphs. However, signed graphs without long barbells in many ways behave like unsigned graphs from the point view of flows. In this paper, we study whether some basic properties in Tutte's flow theory remain valid for this family of … fly specksWebThe presented paper studies the flow number $F(G,sigma)$ of flow-admissible signed graphs $(G,sigma)$ with two negative edges. We restrict our study to cubic g green phos vs white phosWebAn unsigned graph can also be considered as a signed graph with the all-positivesignature, i.e.E N(G,σ)=∅.Let(G,σ)beasignedgraph. ApathP inGiscalleda subdivided edge ofGifeveryinternalvertexofP isa2-vertex. Thesuppressed graph ofG,denoted by G, is the signed graph obtained from G by replacing each maximal subdivided edge P with a green photo health ohip cardWebAug 29, 2024 · Many basic properties in Tutte's flow theory for unsigned graphs do not have their counterparts for signed graphs. However, signed graphs without long barbells in many ways behave like unsigned graphs from the point view of flows. In this paper, we study whether some basic properties in Tutte's flow theory remain valid for … fly-specked meaningWebApr 17, 2024 · Recently, Rollová et al proved that every flow-admissible signed cubic graph with two negative edges admits a nowhere-zero 7-flow, and admits a nowhere … fly speck scaleWebA signed graph G is flow-admissible if it admits a k-NZF for some positive integer k. Bouchet [2] characterized all flow-admissible signed graphs as follows. Proposition … green photo albums 6x4WebAuthors: DeVos, Matt; Li, Jiaao; Lu, You; Luo, Rong; Zhang, Cun-Quan; Zhang, Zhang Award ID(s): 1700218 Publication Date: 2024-05-01 NSF-PAR ID: 10212630 Journal … fly-specked