Flows on flow-admissible signed graphs
WebApr 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 … 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 …
Flows on flow-admissible signed graphs
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WebApr 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 … WebMar 1, 2024 · The flow number of a signed graph (G,Σ) is the smallest positive integer k such that (G,Σ) admits a nowhere-zero integer k-flow. In 1983, Bouchet (JCTB) conjectured that every flow-admissible ...
WebApr 17, 2024 · Six-flows on almost balanced signed graphs. Xiao Wang, Xiao Wang. Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, Shaanxi, China ... 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-zero 6-flow if its … WebMar 15, 2024 · The flow number of a signed graph (G, Σ) is the smallest positive integer k such that (G, Σ) admits a nowhere-zero integer k-flow.In 1983, Bouchet (JCTB) conjectured that every flow-admissible signed graph has flow number at most 6. This conjecture remains open for general signed graphs even for signed planar graphs.A Halin graph …
WebAug 1, 2015 · Let t ≥ 1 be an integer and (G, σ) be a flow-admissible signed (2 t + 1)-regular graph. If G does not have a t-factor, then F c ((G, σ)) ≥ 2 + 2 2 t − 1. 5. r-minimal sets. This section studies the structural implications of the existence of a nowhere-zero (2 + 1 t)-flow on a signed (2 t + 1)-regular graph. Hence, it extends the first ... WebNov 3, 2024 · Bouchet conjectured in 1983 that every flow-admissible signed graph admits a nowhere-zero 6-flow which is equivalent to the restriction to cubic signed graphs. In this paper, we proved that every flow-admissible $3$-edge-colorable cubic signed graph admits a nowhere-zero $10$-flow. This together with the 4-color theorem implies …
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 …
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 ... cultural identity reconstructionThe flow number of a signed graph (G, Σ) is the smallest positive integer k such that … The support S( of is defined to be 3 e G E: O(e) t 0 }. A nowhere-zero k-flow is a k … The following lemma generalizes this method for bidirected flows of graphs … cultural identity refers to one\u0027sWebAuthors: 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 … cultural identity theory collierWebNov 3, 2024 · In this paper, we proved that every flow-admissible $3$-edge-colorable cubic signed graph admits a nowhere-zero $10$-flow. This together with the 4-color theorem implies that every flow-admissible ... east liverpool nursing homeWebGraphs 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, … east liverpool ohio chamber of commerceWebApr 27, 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), Schubert and Steffen (European J. Combin.~48, 2015), and Zhu (J. Combin. Theory Ser. B~112, 2015), and show that, for signed graphs, every … cultural identity of indigenous childrenWebBouchet conjectured in 1983 that every flow-admissible signed graph admits a nowhere-zero 6-flow which is equivalent to the restriction to cubic signed graphs. In this paper, we proved that every flow-admissible 3-edge-colorable cubic … east liverpool ohio crime