Let $D=(V,A)$ be a finite simple directed graph. A function$f:Vlongrightarrow {-1,0,1}$ is called a twin minus dominatingfunction (TMDF) if $f(N^-[v])ge 1$ and $f(N^+[v])ge 1$ for eachvertex $vin V$. The twin minus domination number of $D$ is$gamma_{-}^*(D)=min{w(f)mid f mbox{ is a TMDF of } D}$. Inthis paper, we initiate the study of twin minus domination numbersin digraphs and present some lo...

doi: 10.1130/G32869.1 2012;40;407-410 Geology Naish, Benjamin S. Cramer, Yair Rosenthal, W. Richard Peltier and Sindia Sosdian Kenneth G. Miller, James D. Wright, James V. Browning, Andrew Kulpecz, Michelle Kominz, Tim R. deglaciation High tide of the warm Pliocene: Implications of global sea level for Antarctic Email alerting services articles cite this article to receive free e-mail alerts wh...

Technical Papers Some Applications of the Rapid Uptake of Vitamin B12 by Resting Lactobacillus leschmannii Organisms: Robert L. Davis and Bacon F. Chow 351 On the Interaction of Mesons and Plural vs. Multiple Meson Production: Alexander W. Stern ~ _ _ 352 A Rapid Titrimetric Method for Determining the Water Content of Animal Tissues: Sherburne F. Cook, Carl F. Cramer, and Keith Kenyon__._ 353 4...

Since colonial times emblems are used in Brazil as an important religious language. Among their diversity, the language of the “religio cordis” is outstanding and even gained a kind of sociological equivalent, called “cordial man” (Sérgio Buarque de Holanda). Alternative Protestant forms (G. de Montenay; D. Cramer) or Protestant adaptations of Catholic works have shown in Brazil no effect among...

Let D be a digraph, V (D) and A(D) will denote the sets of vertices and arcs of D, respectively. A kernel N of D is an independent set of vertices such that for every w∈V (D) − N there exists an arc from w to N . A digraph D is called right-pretransitive (resp. left-pretransitive) when (u; v)∈A(D) and (v; w)∈A(D) implies (u; w)∈A(D) or (w; v)∈A(D) (resp. (u; v)∈A(D) and (v; w)∈A(D) implies (u; ...