Hoser Film Festival and Research Forum 2 (HFFRF2)


The Movie Poster for Strange Brew
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Doug: "Coo Loo Coo Coo Coo Coo Coo Coo!" Bob: "Good Day!"

The second Hoser Film Festival and Research Forum was held at the 2010 annual meeting of the Southeastern Section of the Mathematical Association of America. It was held on March 26-27 at Elon University in North Carolina. This was a less spectacular meeting than HFFRF1, but participants were given an overdue opportunity to carry on their passion for all things Hoser.

The Presentation

Robert "Knob" Gardner presented a talk "Cyclic and Bicyclic Decompositions of the Complete Graph into the 4-Cycle with a Pendant Edge" which results from joint work with Daniel "Lupo" Cantrell and Gary "Hoser" Coker. The work is to appear in Utilitas Mathematica as: "Cyclic, f-Cyclic, and Bicyclic Decompositions of the Complete Graph into the 4-Cycle with a Pendant Edge" by D. Cantrell, G. Coker, and R. Gardner. This paper includes the cyclic and rotational results mentioned above, along with the f-cyclic results of Daniel Cantrell's ETSU M.S. thesis. The PowerPoint slides of the talk are available on line here. In commemoration of our inspiration, we refer to the 4-cycle with a pendant edge as the "Hoser graph."


The Hoser Graph H

The Movies

The following films were viewed:


(The original film which
inspired the Hoser Film Festival)

Batman - The Movie

The Research

Following the moderate success of the HFFRF1 (which resulted in the publication of a paper in Congressus Numerantium) and the success of the failed HFFRF2 (which, after many e-mails, resulted in the publication of a paper in Utilitas Mathematica), the continuation of the research component of the HFFRF is expected. The research topic of concern for HFFRF2 centered on Hoser-graph decompositions, packings, and coverings of complete graphs, complete bipartite graphs, and complete graphs with a hole.

A New Research Problem

A problem related to those described above concerns the complete graph on v vertices minus a Hamiltonian cycle: Kv - Cv. Decompositions, packings, and coverings of Kv - Cv with the Hoser graph will be the next topic of HFFRF. Automorphisms of each of these are also open problems.

Return to Bob Gardner's webpage. Return to HFFRF1 webpage. Return to the webpage for failed HFFRF2.
Last updated: March 28, 2010.