556 citations
- Rutgers, The State University of New JerseyUS5 papers
- Institute of Astronomy and Space PhysicsAR4 papers
- University of MariborSI4 papers
- Center for Astrophysics Harvard & SmithsonianUS3 papers
- Georgia State UniversityUS3 papers
- Goddard Space Flight CenterUS3 papers
- United States Naval Research LaboratoryUS3 papers
- California Institute of TechnologyUS2 papers
- Clemson UniversityUS2 papers
- College of CharlestonUS2 papers
- Institute of Mathematics, Physics, and MechanicsSI2 papers
- Michigan State UniversityUS2 papers
33 papers
Toroidal Cartesian Products Where One Factor is 3-Connected
Elizabeth Badgett, Christian Millichap, Kenta Noguchi
In this paper, we show that if is -connected, then the Cartesian product of graphs embeds on the torus if and only if is outer-cylindrical and is a pat…
Prospects for High-Frequency Gravitational-Wave Detection with GEO600
Christopher M. Jungkind, Brian C. Seymour, Andrew Laeuger +1
Current ground-based interferometers are optimized for sensitivity from a few tens of Hz to about 1 kHz. While they are not currently utilized for GW detection, interferometric det…
Complexity and Enumeration in Models of Genome Rearrangement
Lora Bailey, Heather Smith Blake, Garner Cochran +8
In this paper, we examine the computational complexity of enumeration in certain genome rearrangement models. We first show that the Pairwise Rearrangement problem in the Single Cu…
Flat fully augmented links are determined by their complements
Christian Millichap, Rolland Trapp
In this paper, we show that two flat fully augmented links with homeomorphic complements must be equivalent as links in . This requires a careful analysis of how to…
The Edge-Product Space of Phylogenetic Trees is Not Shellable
Grace Stadnyk
The edge-product space of phylogenetic trees is a regular CW complex whose maximal closed cells correspond to trivalent trees with leaves labeled by a finite set . The face pose…
Embedding Grid Graphs on Surfaces
Christian Millichap, Fabian Salinas
In this paper, we analyze embeddings of grid graphs on orientable surfaces. We determine the genus of a large class of k-dimensional grid graphs and effective two-sided bounds for…