如何理解图论中的荫度(arboricity)?Arboricity的计算公式为:α=maxU∈GE(U)V(U)−1,从公式当中...
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The arboricity of a graph is the minimum number of forests required to cover all its edges. In this paper, we examine arboricity from a game-theoretic pers
The linear 2-arboricity la_2(G) of a graph G is the least integer k such that G can be partitioned into k edge-disjoint forests,whose component trees are paths of length at most 2. 图G的线性2-荫度la_2(G)是将G分解为k个边不交的森林的最小整数k,其中每个森林的分支树是长度至多为2...
3) vertex arboricity 点荫度 1. Thevertex arboricityof the square of an outerplanar graph; 外平面图的平方图的点荫度 2. Thevertex arboricityof the integer distance graph G(D_ m,3); 整数距离图G(D_(m,30)的点荫度 3. In this paper, an upper and a lower bounds of thevertex arboricityof...
The degree-constrained k-arboricity of outerplanar graphs; 外平面图度有限制的k-荫度 2. In this paper, we discuss point arboricity of line graphs and obtain some bounds of point arboricity of line graphs. 文中讨论了线图的荫度,得到了线图荫度的若干界。 3. This paper proves that the linear...
Let the vertex arboricity of G be denoted by a(G)and theedge arboricityof G by a1(G). 以a(G)a1(G)分别记图G的点荫度、边荫度,对任意P阶非平凡简单图G及其补图,本文得到以下Nordhaus-Gaddum类型不等式:|x|、|x|分别表x之上整数、下整数。
The complexities of all of the proposed static algorithms improve over the complexities of the so far existing algorithms, for graphs of low arboricity. In addition, for the problems of counting subgraphs of size 4 and recognizing diamond-free graphs, the improvement is general....
The 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, whose component trees are paths of length at most 2. In this paper, we prove that if G is a toroidal graph with maximum degree Δ, then la2(G)≤⌈...