Global cycle properties in graphs with large minimum clustering coefficient

The clustering coefficient of a vertex in a graph is the proportion of neighbours of the vertex that are adjacent. The minimum clustering coefficient of a graph is the smallest clustering coefficient taken over all vertices. A complete structural characterization of those locally connected graphs, with minimum clustering coefficient 1/2 and maximum degree at most 6, that are fully cycle extendable is given in terms of strongly induced subgraphs with given attachment sets. Moreover, it is shown that all locally connected graphs with minimum clustering coefficient 1/2 and maximum degree at most 6 are weakly pancyclic, thereby proving Ryjacek's conjecture for this class of locally connected graphs.Comment: 16 pages, two figure

Minnesotans in Nature: Trends and Prospects

Prepared for a conference on The Future Environment of Minnesota: The Educational Task, sponsored by the Minnesota Academy of Science and the Science Museum of Minnesota. Onamia, Minnesota, May 12-14, 1974

The Opposite of Play: A Heuristic Investigation into the Relationship between Play and Mental Health

This paper utilizes a heuristic, arts-based research methodology to investigate the relationship between play and mental health from the researcher’s subjective experience. This paper is the research paper accompaniment to the theatrical performance piece, titled: The Opposite of Play. The paper contains a literature review that includes research on the benefits of play, with a particular focus on play in adulthood and the connection between play and mental health. The paper also includes a description of heuristic research methodology, explored through the context of the researcher’s personal experience of using heuristic methodology to explore her experiences and create a performance piece using the method of devised theatre. The final portion of this paper consists of the researcher’s reflections on the process, as well as the result of the heuristic process- the script for the theatrical performance piece

America's Urban Geography: Who Teaches and Learns It?

Center for Urban and Regional Affairs, University of Minnesota. Banquet Address at the Annual Convention of the National Council for Geographic Education. Detroit, November 1971

Discussion Paper for a Conference on Strengthening State and Metropolitan Problem Solving Capabilities.

Discussion paper for a Conference of the National Academy of Sciences, February 15-16, 1974

Taxes and the Minnesota Community.

Borchert explains how, in 1979, the collection of taxes statewide and the redistribution of those moneys for different state needs works. Minnesota taxation is also compared with other states. Includes 45 maps and figures