The Widths of Strict Outerconfluent Graphs

Strict outerconfluent drawing is a style of graph drawing in which vertices are drawn on the boundary of a disk, adjacencies are indicated by the existence of smooth curves through a system of tracks within the disk, and no two adjacent vertices are connected by more than one of these smooth tracks. We investigate graph width parameters on the graphs that have drawings in this style. We prove that the clique-width of these graphs is unbounded, but their twin-width is bounded.Comment: 15 pages, 2 figure

The Influence of Confluence and Resolution on Architectural and Structural Frameworks

This investigation focuses on the ideas of confluence and resolution as generators of architectural volume. This focus is applied as the driving design idea extending from the selection of the city, to the selection of the site, to the organization of the building and, finally, to the architectural development of the details, all of which help resolve the design and construction of the building. The layering of confluent conditions, from the site to the detail, is intended to create a building in which an occupant may begin to understand the relationships influencing the design and development of the building, and by extension, development of the built environment. One can even begin to recognize the importance of a building’s position as a confluence of events within a city. The building topology used to express these ideas of confluence and resolution is an intermodal transportation station in the City of Detroit. The multiple transportation circulations that enter an intermodal station explicitly define the station as a confluence of transportation flows within the city

Scalability considerations for multivariate graph visualization

Real-world, multivariate datasets are frequently too large to show in their entirety on a visual display. Still, there are many techniques we can employ to show useful partial views-sufficient to support incremental exploration of large graph datasets. In this chapter, we first explore the cognitive and architectural limitations which restrict the amount of visual bandwidth available to multivariate graph visualization approaches. These limitations afford several design approaches, which we systematically explore. Finally, we survey systems and studies that exhibit these design strategies to mitigate these perceptual and architectural limitations

The Nature Drawings of Peter Karklins

https://via.library.depaul.edu/museum-publications/1010/thumbnail.jp