The problem of determining Ramsey numbers is known to be very difficult. The few known exact values and several bounds for different G1, G2 or m, n are scattered among many technical papers (see [3]). A graph G with order p is called a (G1,G2; p)-graph ((m, n; p)-graph, resp.) if G does not contain a G1 and Ḡ does not contain a G2 (Km and Kn , resp.). It is easy to see that R(G1,G2) = p0 +1 iff...

Two graphs G1 and G2 of order n pack if there exist injective mappings of their vertex sets into [n], such that the images of the edge sets are disjoint. In 1978, Bollobás and Eldridge, and independently Catlin, conjectured that if (∆(G1)+1)(∆(G2)+1)≤ n+1, then G1 and G2 pack. Towards this conjecture, we show that for ∆(G1),∆(G2)≥ 300, if (∆(G1)+1)(∆(G2)+1)≤0.6n+1, then G1 and G2 pack. This is ...

Let G0 and G1 be two graphs with the same vertices. The new graph G(G0, G1;M) is a graph with the vertex set V (G0)∪V (G1) and the edge set E(G0)∪E(G1)∪M , where M is an arbitrary perfect matching between the vertices of G0 and G1, i.e., a set of cross edges with one endvertex in G0 and the other endvertex in G1. In this paper, we will show that if G0 and G1 are f -fault q-panconnected, then fo...

compositions of biotite from three different rock types of mashhad granitoids, i.e., granodiorite, monzogranite and leucogranite in ne of iran have been documented by electron microprobe and wet chemistry for fe3+ and fe2+. mashhad granitoids have been geochronologically and petrologically grouped into g1 and g2 phases. microprobe data show that the total fe contents in biotite from g2 leucogra...

Abstract Purpose To evaluate the influence of hydrofluoric acid (HF) contamination on microtensile bond strength (μTBS) during dental repair procedures before and after application different dentin adhesives (Optibond FL Optibond XTR). Materials methods Thirty-five human molars were ground down into randomly divided seven groups (G1-G7; n = 5), G1 G2 being control groups. Only in test (G3-G7) s...

This study aims to provide information and theoretical support for the development planning of facility agriculture in desert areas. Using sensor monitoring, USB cable, computer connection record, we measured temperature, humidity, heat transfer distribution ordinary brick wall greenhouse (G1), composite (G2), assembled solar (G3) Aksu area Xinjiang. The results showed that G3 had highest avera...

Yeast pheromones block cell cycle progression in G1 in order to prepare mating partners for conjugation. We have investigated the mechanism underlying pheromone-induced G1 arrest in the fission yeast Schizosaccharomyces pombe. We find that the G1-specific transcription factor p65cdc10-p72res1/sct1 which controls the expression of S-phase genes is fully activated in pheromone, unlike the analogo...