supported by the National Natural Science Foundation of China(Nos.11971437,11771402);the Natural Science Foundation of Zhejiang Province(No.LY19A010015).
The vertex-arboricity a(G)of a graph G is the minimum number of colors required for a vertex coloring of G such that no cycle is monochromatic.The list vertex-arboricity al(G)is the list-coloring version of this conce...
Supported by the National Natural Science Foundation of China(Nos.11871055,11301410);the Natural Science Basic Research Plan in Shaanxi Province of China(No.2017JM1010);the Fundamental Research Funds for the Central Universities(Nos.JB170706)
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 common end vertex. It is proved that every NIC-planar graph with...
National Natural Science Foundation of China(No.10971025)
A star forest is a forest whose components are stars. The star arboricity of a graph G,denoted by sa( G),is the minimum number of star forests needed to decompose G. Let k be a positive integer. A k-star forest is a...
It is a well known fact that the linear arboricity of a k-regular graph is [(k+1)/2] fork=3,4. In this paper, we prove that if the number Of edges of a k-regular circulant is divisibleby [(k+1)/2], then its edge set c...
The arboricity of graph G=(V,E), denoted by a(G), is defined as a(G)=min{n | E can be partitioned into n subsets E1,E2,...,En, such that each subset spans a subgraph of G so as to be a forest}.In this paper the follow...