A common feature of development in most vertebrate models is the early segregation of the germ line from the soma. For example, in Xenopus and zebrafish embryos primordial germ cells (PGCs) are specified by germ plasm that is inherited from the egg; in mice,Blimp1 expression in the epiblast mediates the commitment of cells to the germ line. How these disparate mechanisms of PGC specification ev...

Let G = (V,E,w) be a graph with vertex and edge sets V and E, respectively, and w : E → IR a function which assigns a positive weigth or length to each edge of G. G is called a realization of a finite metric space (M,d), with M = {1, ..., n} if and only if {1, ..., n} ⊆ V and d(i, j) is equal to the length of the shortest chain linking i and j in G ∀i, j = 1, ..., n. A realization G of (M,d), i...

Conjectures in graph theory have multiple forms and involve graph invariants, graph classes, subgraphs, minors and other concepts in premisses and/or conclusions. Various abstract criteria have been proposed in order to find interesting ones with computeraided or automated systems for conjecture-making. Beginning with the observation that famous theorems (and others) have first been conjectures...