The values of hypergraph 2-color Ramsey numbers for loose cycles and paths have already been determined. The only known value for more than 2 colors is R(C 3 ; 3) = 8, where C 3 3 is a 3-uniform loose cycle of length 3. Here we determine that R(P 3 3 ; 3) = 9, where P 3 3 is a 3-uniform loose path of length 3. Our proof relies on the determination of the Turán number ex3(9;P 3 3 ). We also find...

In this paper we investigate the dominating- -color number،  of a graph G. That is the maximum number of color classes that are also dominating when G is colored using colors. We show that where is the join of G and H. This result allows us to construct classes of graphs such that and thus provide some information regarding two questions raised in [1] and [2].  

an algorithm is suggested for implementation of unlimited primaries in two-constants kubelka-munk color matching attempt. allens method for tristimulus color matching which was limited to four colorants in two constant theory, dealt with inversable matrices. by application of the pseudo-inverse, it is not necessary to limit the number of primary colors to four as allen suggested. the suggested ...

Let G be a connected graph. Let f be a proper k -coloring of G and Π = (R_1, R_2, . . . , R_k) bean ordered partition of V (G) into color classes. For any vertex v of G, define the color code c_Π(v) of v with respect to Π to be a k -tuple (d(v, R_1), d(v, R_2), . . . , d(v, R_k)), where d(v, R_i) is the min{d(v, x)|x ∈ R_i}. If distinct vertices have distinct color codes, then we call f a locat...

An urn contains balls of d ≥ 2 colors. At each time n ≥ 1, a ball is drawn and then replaced together with a random number of balls of the same color. Let An =diag An,1, . . . , An,d be the n-th reinforce matrix. Assuming EAn,j = EAn,1 for all n and j, a few CLT’s are available for such urns. In real problems, however, it is more reasonable to assume EAn,j = EAn,1 whenever n ≥ 1 and 1 ≤ j ≤ d0,...

Interactive effect of plant growth regulators 6-Benzylaminopurine (BAP) (0, 2, 4 and 8 <span style="font-variant: normal; font-style: normal; font-family: SymbolMT; color: #23...