5,054 research outputs found
Rainbow Connection Numbers of WK-Recursive Networks and WK-Recursive Pyramids
An edge coloring of a graph G results in G being rainbow connected when every pair of vertices is linked by a rainbow path. Such a path is defined as one where each edge possesses a distinct color. A rainbow coloring refers to an edge coloring that guarantees the rainbow connectedness of G. The rainbow connection number of G represents the smallest quantity of colors required to achieve rainbow connectedness under a rainbow coloring scheme. Wang and Hsu (ICICM 2019: 75–79) provided upper bounds on the size of the rainbow connection numbers in WK-recursive networks WKd,t and WK-recursive pyramids WKPd,n. In this paper, we revise their results and determine the exact values of the rainbow connection numbers of WKd,2 for d=3 and 4. The rainbow connection numbers of WKd,2 are bounded between 4 and ⌊d2⌋+2 for d>4. In addition to our previous findings, we further investigate and determine upper bounds for the size of the rainbow connection numbers of WKPd,n. This involves analyzing various aspects of the graph structure and exploring potential limitations on the rainbow connection numbers. By establishing these upper bounds, we gain deeper insights into the potential range and constraints of the rainbow connection numbers within the given context
A strong endoplasmic reticulum retention signal in the stem-anchor region of envelope glycoprotein of dengue virus type 2 affects the production of virus-like particles.
Representative <sup>1</sup>H NMR spectra of urinary samples obtained from one control rat (A), and four rats at diabetic 1-wk (B), diabetic 5-wk (C), diabetic 10-wk (D), and diabetic 15-wk (E), respectively.
<p>Representative <sup>1</sup>H NMR spectra of urinary samples obtained from one control rat (A), and four rats at diabetic 1-wk (B), diabetic 5-wk (C), diabetic 10-wk (D), and diabetic 15-wk (E), respectively.</p
Identification of a minimal peptide derived from heptad repeat (HR) 2 of spike protein of SARS-CoV and combination of HR1-derived peptides as fusion inhibitors.
Sulfur forming an isoelectronic center in zinc telluride thin films
ZnTe1-xSx epitaxial layers grown on GaAs by molecular-beam epitaxy were studied by photoluminescence (PL) as a function of temperatures, excitation powers, and hydrostatic pressures. A sulfur-related emission peak, labeled as P-2, is identified as a deep-level emission by hydrostatic-pressure PL measurement. This indicates that sulfur atoms form isoelectronic centers in a ZnTe matrix. The results qualitatively agree with the theoretical prediction and show experimental evidence of isoelectronic S in ZnTe. A model is proposed to explain the emission mechanisms in the ZnTe1-xSx system with small x values
Microbiologic characteristics, serologic responses, and clinical manifestations in severe acute respiratory syndrome, Taiwan
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