… ” of graph coloring where every vertex v can only be colored from a list of colors with size …
Oε(log n) colors per vertex is sufficient for proper coloring of any graph with high probability …

… graph coloring problems admit similar palette sparsification … consider palette sparsification
of the O(∆/log(∆/√k))-coloring … bounds for list coloring (and correspondence coloring) locally …

… In particular, we do not need the heavy machinery such as palette sparsification and list-coloring
in existing classical algorithms. We overview our results below, and see also Table 1 for …

… -algorithm is to “sparsify” the (∆ + 1) coloring problem to a listcoloring problem with lists/palletes …
clique Ci in G and a partial coloring C3, we define a palette-graph Hi of the almost-clique …

… coloring problem is the (∆ + 1) vertex coloring in which all nodes are given the same palette
of ∆ + 1 colors, … To handle large degree graphs, we design a graph sparsification technique …

… diately leads to a palette sparsification theorem for D1LC when … The distributed vertex
coloring problem is one of the defining … additional challenges that go beyond slack generation. It …

… cuts [30, 8], this is to our knowledge its first application in graph coloring. … 1, which works
under vertex arrivals, for each of the k subgraphs Hi all in parallel, using disjoint color palettes. …

… , Rubin, and Taylor [ERT79], list coloring is a generalization of graph coloring in which each
vertex is assigned a color from its own predetermined list of colors. Formally, L : V (G) → 2N …

… graph coloring, focusing specifically on the vertex and edge coloring problems in n-vertex …
According to the palette sparsification theorem, the sparsified instance will have O (|Z| · log2 …

… look beyond estimating some monotone function of the graph with … k problem to graph
coloring, we focus on a special case of … We proceed to describe our palette-sparsification-based …