A path-matching of order p is a vertex disjoint union nontrivial paths spanning vertices. Burr and Roberts, Faudree Schelp determined the 2-color Ramsey number path-matchings. In this paper we study multicolor Given positive integers r,p1,…,pr, define RPM(p1,…,pr) to be smallest integer n such that in any r-coloring edges Kn there exists color i at least pi for some i?[r]. Our main result r?2 p...

To understand the molecular mechanisms underlying paramutation, we examined the role of Unstable factor for orange1 (Ufo1) in maintaining paramutation at the maize pericarp color1 (p1) and booster1 (b1) loci. Genetic tests revealed that the Ufo1-1 mutation disrupted silencing associated with paramutation at both p1 and b1. The level of up regulation achieved at b1 was lower than that at p1, sug...

In this study, we employed the planar source illumination (PSI) geometry to quantify optical properties of turbid media. Delta-P1 and P1 photon diffusion models were utilized to calculate the reflectance in the PSI geometry. The performance of the P1 and Delta-P1 diffusion models was evaluated using Monte Carlo simulation and liquid phantom measurements. Our results revealed that Delta-P1 diffu...

Let P1, . . . ,Pn be properties of graphs. A (P1, . . . ,Pn)-partition of a graph G is a partition {V1, . . . , Vn} of V (G) such that, for each i = 1, . . . , n, the subgraph of G induced by Vi has property Pi. If a graph G has a unique (P1, . . . ,Pn)-partition we say it is uniquely (P1, . . . ,Pn)partitionable. We establish best lower bounds for the order of uniquely (P1, . . . ,Pn)-partitio...

The maize (Zea mays) p1 (for pericarp color1) gene encodes an R2R3 Myb-like transcription factor that regulates the flavonoid biosynthetic pathway in floral organs, most notably kernel pericarp and cob. Alleles of the p1 gene condition distinct tissue-specific pigmentation patterns; to elucidate the molecular basis of these allele-specific expression patterns, we characterized two novel P1-rw (...

One can prove the following four propositions: (1) For all points p, q of E2 T and for every subset P of E2 T such that P is an arc from p to q holds P is compact. (2) For every real number r holds 0 ¬ r and r ¬ 1 iff r ∈ the carrier of I. (3) For all points p1, p2 of E 2 T and for all real numbers r1, r2 such that (1 − r1) · p1 + r1 · p2 = (1 − r2) · p1 + r2 · p2 holds r1 = r2 or p1 = p2. (4) ...

Dimethylbenzanthracene-induced P1 sarcoma cells induce P1-specific antibodies in syngeneic DA rats. Antiidiotypic antibodies of specificity DA anti-(DA anti-P1) were induced against the tumor-specific antibodies and used to restimulate P1-primed DA T cells in vitro. Using antiidiotypic antibodies and T cell growth factor, P1-specific cytotoxic DA T cell clones were established by limiting dilut...

The human protein P1 belongs to a newly discovered class of mammalian nuclear proteins with high sequence homology to yeast replication proteins. We present the entire amino acid sequence of the human protein P1 as predicted from the cDNA sequence, and show that P1 shares three central regions of high sequence similarity (about 75%) and a highly hydrophilic carboxy-terminal region with the yeas...

Cysteine and serine proteases function via protease-activated (PARs) and mas-related Gprotein coupled receptors (Mrgprs) to contribute to allergy and inflammation. Der p1 is a cysteine protease and major allergen from the house dust mite and is associated with allergic rhinitis and allergic asthma. Der p1 activates PAR2 and induces the release of the pro-inflammatory cytokine IL-6 from cells. H...

P1 is a bacteriophage of Escherichia coli and other enteric bacteria. It lysogenizes its hosts as a circular, low-copy-number plasmid. We have determined the complete nucleotide sequences of two strains of a P1 thermoinducible mutant, P1 c1-100. The P1 genome (93,601 bp) contains at least 117 genes, of which almost two-thirds had not been sequenced previously and 49 have no homologs in other or...