1.Numerical calculation shows that a moderate chromatic aberration of lens gives rise to remarkable spectral changes in focused light field, and this spectral changes are dependent on the degree of spatial coherence of incident light and on the width of spectrum.
2.The total chromatic number XT(G)of a graph G is the least number of colors assigned toV(G) UE(G) such that no adjacent or incident elements receive the same color. We provedthat if △G)=3 and maximum degree venices of G are pairwise non-adjacent,then XT(G)=4.
3.This article studies on planar graphs which has no cycle of length from 4 to k and any two 3-cycles do not have a common vertex. Δ(G)denotes the maximum degree of G. It is proved that the total chromatic number xT(G)is (Δ+1) if (Δ,k)∈{(6,4),(5,5),(4,11)}.
