It is shown that Witten's star product in string field theory, defined as the overlap of half strings, is equivalent to the Moyal star product involving the relativistic phase space of even string modes. The string field ψ A (x µ [σ]) can be rewritten as a phase space field of the even modes A (x µ 2n , x 0 , p µ 2n) , where x µ 2n are the positions of the even string modes, and p µ 2n are rela...

Suppose a genus two handlebody is removed from a 3manifold M and then a single meridian of the handlebody is restored. The result is a knot or link complement in M and it is natural to ask whether geometric properties of the link complement say something about the meridian that was restored. Here we consider what the relation must be between two not necessarily disjoint meridians so that restor...

A graph G is matching-decyclable if it has a matching M such that G−M is acyclic. Deciding whether G is matching-decyclable is an NPcomplete problem even if G is 2-connected, planar, and subcubic. In this work we present characterizations of matching-decyclability in the following classes: chordal graphs, split graphs, distance-hereditary graphs, cographs, and Hamiltonian subcubic graphs. All t...

We show that deciding whether a given graph G of size m has a unique perfect matching as well as finding that matching, if it exists, can be done in time O(m) if G is either a cograph, or a split graph, or an interval graph, or claw-free. Furthermore, we provide a constructive characterization of the claw-free graphs with a unique perfect matching.

to evaluate the growth regulatory effect of chlormequat chloride (ccc) under drought stress conditions on three barley cultivars, a field study was conducted under badjgah agro climatic conditions (altitude 1810 m, longitude 52° 46´, and latitude 29° 50´) during 2003-2004 growing season. a randomized complete block based split- split plot of four replications was employed with two moisture leve...

Application of mycorrhiza-biofertilizer and intercropping with legume crops could improve performance yield red-rice grown onraised-beds under aerobic irrigation systems, but weeds became a serious problem, which needs more frequent weeding. A Split Split-Plot (SSP) experiment was designed to examine synergistic effects rice-straw mulch application on yieldof several black rice promising-lines ...

Integrating dynamic information across the senses is crucial to survival. However, most laboratory studies have only examined sensory integration for static events. Here we demonstrate that strong crossmodal integration can also occur for an emergent attribute of dynamic arrays, specifically the direction of apparent motion. The results of the present study show that the perceived direction of ...