A5054832217- Advanced Graph Theory Research
- graph theory and CDMA systems
- Advanced Combinatorial Mathematics
- Stellar, planetary, and galactic studies
- Geophysics and Gravity Measurements
- Solar and Space Plasma Dynamics
- Advanced Topics in Algebra
- Graph Labeling and Dimension Problems
- Adaptive optics and wavefront sensing
- Advanced Optical Network Technologies
- Advanced Algebra and Logic
- Astronomy and Astrophysical Research
- Data Management and Algorithms
George Washington University
2022-2023
Pan-STARRS1 has carried out a set of distinct synoptic imaging sky surveys including the $3π$ Steradian Survey and Medium Deep in 5 bands ($grizy_{P1}$). The mean 5$σ$ point source limiting sensitivities stacked 3$π$ $grizy_{P1}$ are (23.3, 23.2, 23.1, 22.3, 21.4) respectively. upper bound on systematic uncertainty photometric calibration across is 7-12 millimag depending bandpass. astrometric using Gaia frame comes from comparison results with Gaia: standard deviation median residuals ($...
Many important enumerative invariants of a matroid can be obtained from its Tutte polynomial, and many more are determined by two stronger invariants, the $\mathcal{G}$-invariant configuration matroid. We show that same is not true most basic connectivity invariants. Specifically, we for any positive integer $n$, there pairs matroids have (and so polynomial) but difference between their connectivities exceeds likewise vertical branch-width. The examples use to this, which construct using an...
For a matroid $M$, its configuration determines $\mathcal{G}$-invariant. Few examples are known of pairs matroids with the same $\mathcal{G}$-invariant but different configurations. In order to produce new examples, we introduce free $m$-cone $Q_m(M)$ loopless where $m$ is positive integer. We show that $M$ $Q_m(M)$, and $M$; so if $N$ nonisomorphic have $\mathcal{G}$-invariant, then $Q_m(N)$ prove analogous results for several variants $m$-cone. also define invariant it Tutte polynomial $Q_m(M)$.