An exact upper bound for the minimum size of a path system that weakly separates a clique

We show that for each natural number $n$ the clique $K_n$ has a weakly separating path system of size $n+2$, improving the previous best known upper bound of $(1+o(1))n$. Since $n-1$ is a lower bound, this is almost tight.Comment: 7 page

Removal of sodium thiosulfate from wash water by the use of ion exchange resins for application in a closed photographic system

Ion exchange resins were used for removing sodium thiosulfate from wash water. Quantitative tests were run to determine the feasability of using the resins in a closed rapid processing system. One liter of a monobed resin and one liter of an anion resin, each in a separate ion exchange column, were found to be sufficient to remove the sodium thiosulfate left in the wash water for 8000 square inches of Kodabromide F-2 paper under specified conditions

\u27Texas Maroon’ Bluebonnet

The Texas state flower, the bluebonnet, encompasses all six of the Lupinus species native to Texas. The most widespread and popular bluebonnet, Lupinus texensis Hook., is a winter annual that produces violet-blue [violet-blue group 96A, Royal Horticultural Society (RHS), 1982] racemes in early to midspring and is predominately self-pollinating. The Texas Dept. of Transportation uses this species widely for floral displays along roadsides throughout much of the state (Andrews, 1986). Rare white and even rarer pink variants exist in native populations, and a breeding project was initiated in 1985 to develop bluebonnets with novel flower colors for use as bedding plants. ‘Abbott Pink’ was the first seed-propagated cultivar to be developed from this program (Parsons and Davis, 1993). The second cultivar, ‘Barbara Bush’ with novel lavender shade flowers, was developed more recently (Parsons et al., 1994). As with the cultivars previously developed, we used recurrent phenotypic selection to develop ‘Texas Maroon’. This cultivar is intended for use as a bedding plant for maroon flower color