On the linear arboricity of 1-planar graphs
Web22 de jun. de 1999 · Abstract The linear arboricity la(G) of a graph G is the minimum number of linear forests that partition the edges of G. Akiyama, ... Xin Zhang, Bi Li, …
On the linear arboricity of 1-planar graphs
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WebOn 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, … WebThe linear k-arboricity of a graph G, denoted by la fc(G), is the least number of linear A;-forests needed to decompose G. ... cubic graphs [4, 15, 17], regular graphs [1, 3], planar graphs [14], balanced complete multipartite graphs [20] and complete graphs [6, 8, 9, 10, 19]. The linear 2-arboricity, the linear 3-arboricity and a lower bound ...
Web1-planar graphs G, Zhang, Liu and Wu[12] showed that if Δ(G) ≥ 33 then la(G)= Δ(G) 2. In this paper, we aim to partially solve LAC for NIC-planar graphs with large maximum degree by proving the following Theorem 1.2. If G is an NIC-planar graph with Δ(G) ≥ 14,thenla(G) ≤ Δ(G)+1 2. In addition, we prove the second theorem on the linear ... Web19 de dez. de 2024 · A graph is NIC-planar if it admits a drawing in the plane with at most one crossing per edge and such that two pairs of crossing edges share at most one …
WebAbstract We prove in this note that the linear vertex-arboricity of any planar graph is at most three, which confirms a conjecture due to Broere and Mynhardt, and others. Skip to … WebHá 2 dias · In particular, since the arboricity of planar graphs is b ounded by 3, setting α = 3, this estimator gives a 24 factor approximation of the matc hing size in planar graphs. …
WebWe investigate the total coloring of fullerene nanodiscs, a subclass of cubic planar graphs with girth 5 arising in Chemistry, ... List strong linear 2-arboricity of sparse graphs. …
Web, On the linear 2-arboricity of planar graphs without intersecting 3-cycles or intersecting 4-cycles, Ars Combin. 136 (2024) 383 – 389. Google Scholar [30] Zhang L., The linear 2 … side effects to moldWebThe linear 2-arboricity la2(G) of a graph G is the least integer k such that G can be partitioned into k edge-disjoint forests, ... Zhang, G. Liu and J. Wu, On the linear … the plane leaves from gate eighteenWeb1.List Point Arboricity of Total Graphs and List Coloring of Planar Graphs全图的列表点荫度及平面图的列表着色 2.The List Linear Arboricity and Linear Choosability of Cubic Graphs三正则图的列表线性荫度及线性点可选性 3.Hamilton Cycles and List Linear Arboricity of Graphs;图中的哈密顿圈和图的列表线性 ... side effects to mold exposureWeb23 de dez. de 2011 · Abstract. The linear arboricity la ( G) 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 … the plane leaves in half an hourWeb1 de jun. de 1999 · The linear arboricity la(G) of a graph G is the minimum number of linear forests that partition the edges of G. Akiyama, Exoo, and Harary conjectured that … the plane leaves in spanishWeb22 de jun. de 1999 · Abstract The linear arboricity la(G) of a graph G is the minimum number of linear forests that partition the edges of G. Akiyama, ... On the linear … the plane leaves london at 20:50 next tuesdayWeb1 de ago. de 2007 · The linear arboricity of a graph G is the minimum number of linear forests which partition the edges of G. Akiyama, Exoo and Harary conjectured that @?@D(G) ... Wu, J.L., On the linear arboricity of planar graphs. J. Graph Theory. v31. 129-134. Google Scholar [13] Wu, J.L., The linear arboricity of series¿parallel graphs. the plane jar