Linear 2-arboricity of coupled graphs

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August undefined, 2024

NettetAbstract. We find upper bounds on the linear k -arboricity of d -regular graphs using a probabilistic argument. For small k these bounds are new. For large k they blend into … Nettet1. des. 2024 · The linear 2-arboricity of planar graphs. Graphs Combin., 19, 241–248 (2003) Article MathSciNet Google Scholar Liu, J., Hu, X., Wang, W., et al.: Light …

The linear 2-arboricity of sparse graphs Discrete Mathematics ...

Nettet9. mar. 2024 · In highly connected financial networks, the failure of a single institution can cascade into additional bank failures. This systemic risk can be mitigated by adjusting the loans, holding shares ... Nettet15. des. 2024 · The linear arboricity l a (G) of a graph G, initiated by Harary [17], is the minimum number t for which G has a t-linear coloring. The linear arboricity has been … mature botfly

Linear Arboricity of NIC-Planar Graphs - Xidian

Nettet16. apr. 2024 · The linear k -arboricity of a graph G, denoted by \mathrm {la}_k (G), is the least number of linear k -forests needed to decompose G. Linear k -arboricity is an important topic in computational complexity [ 11, 14] and it … NettetA fundamental question in this context is the "linear arboricity conjecture" of Aki yama, Exoo and Harary [2]. Conjecture 1 If G is an r-regular graph, then la(G) = rr;11. For non regular graphs we state a version of this conjecture formulated by A'it djafer [1]. Conjecture 2 If G is a graph, then 2. Structural Results NettetThe linear arboricity of a graph is the minimum number of linear forests (a collection of paths) into which the edges of the graph can be partitioned. The linear arboricity of a … mature boho

The list linear arboricity of graphs - Kim - 2024 - Journal of Graph ...

The linear 2-arboricity of complete bipartite graphs - ResearchGate

NettetThe linear 2-arboricity of a graph G is the least number of forests which decomposes E ( G ) and each forest is a collection of paths of length at most two. A graph has property P k, if each subgraph H satisfies one of the three conditions: (i) δ ( H ) ≤ 1; (ii) there exists x y ∈ E ( H ) with deg H ( x ) + deg H ( y ) ≤ k; (iii) H contains a 2-alternating cycle. NettetList of dissertations / theses on the topic 'Document list'. Scholarly publications with full text pdf download. Related research topic ideas. mature bobwhite quail for saleNettet1. feb. 2010 · The linear 2-arboricity, the linear 3-arboricity and a lower bound of linear k-arboricity of balanced complete bipartite graphs are obtained in [9,10,11], … mature body painting picture

"Nettet1. jan. 1994 · It is obtained that the linear 2arboricity, the linear 3-arboricity and the low bound of linear k-arboricity of balanced complete bipartite graph in [8,9, 10], … " - Linear 2-arboricity of coupled graphs

Linear 2-arboricity of coupled graphs

Nettet1. jun. 2003 · The linear 2-arboricity, the linear 3-arboricity and a lower bound of linear k-arboricity of balanced complete bipartite graphs are obtained in [9,10,11], … Nettet24. okt. 2016 · All embedding graphs considered in this paper are 2-cell embedding. The Euler characteristic \epsilon (S) of the surface S is equal to V (G) + F (G) - E (G) for …

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NettetAbstract: Graph coloring has interesting real-life applications in optimization, computer science and network design, such as file transferring in a computer network, computation of Hessians matrix and so on. There is an important coloring in the coloring of the graph, linear arboricity, which is an improper edge coloring, and the linear arboricity of an … Nettet1. jan. 2024 · The linear arboricity of a graph G is the minimum number of linear forests which partition the edges of G. In this paper, it is proved that for two fixed integers i and j (3≤i≤j≤5), if a...

Nettet19. des. 2024 · By applying those structural theorems, we confirm the Linear Arboricity Conjecture for NIC-planar graphs with maximum degree at least 14 and determine the … Nettet12. nov. 2010 · A graph is a strong linear forest if its every connected component is a path of at most three vertices. Note that at most one third of the vertices in a strong linear …

Nettet6. mar. 2024 · The figure shows the complete bipartite graph K 4,4, with the colors indicating a partition of its edges into three forests. K 4,4 cannot be partitioned into fewer forests, because any forest on its eight vertices has at most seven edges, while the overall graph has sixteen edges, more than double the number of edges in a single forest. . … NettetThe linear 2-arboricity of a graph G is the least number of forests which decomposes E ( G ) and each forest is a collection of paths of length at most two. A graph has property …

Nettet19. des. 2024 · By applying those structural theorems, we confirm the Linear Arboricity Conjecture for NIC-planar graphs with maximum degree at least 14 and determine the linear arboricity of NIC-planar graphs with maximum degree at least 21. Download to read the full article text References heritage high school frisco addressNettet1. jan. 1984 · A linear-kforest of an undirected graph G is a subgrw)h of G whole connected components are chains of length at most k. We define the linear-k -arboricity of G (denoted lax (G 1) as the minimum number of linear-k-forests ne -Aed to partition the edge set E (G) of r. This notion is a natural refinement of the lineFr-arboricity … mature black women hairstylesNettetOn the linear 2-arboricity of planar graph without normally adjacent 3-cycles and 4-cycles. Yiqiao Wang School of Management, Beijing University of Chinese Medicine, Beijing, China Correspondence [email protected] View further author information. Pages 981-988 Received 14 Apr 2015. mature boho women styles