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- Grady Bullington, Linda Eroh, Ralucca Gera, Steven J. Winters
- Discussiones Mathematicae Graph Theory
- 2011

The Traveling Salesman Problem (TSP) is still one of the most researched topics in computational mathematics, and we introduce a variant of it, namely the study of the closed k-walks in graphs. We search for a shortest closed route visiting k cities in a non complete graph without weights. This motivates the following definition. Given a set of k distinct… (More)

- Grady Bullington, Linda Eroh, Steven J. Winters
- Discussiones Mathematicae Graph Theory
- 2010

Explicit formulae for the γ-min and γ-max labeling values of complete bipartite graphs are given, along with γ-labelings which achieve these extremes. A recursive formula for the γ-min labeling value of any complete multipartite is also presented.

- Grady Bullington, Ralucca Gera, +4 authors L. Eroh
- 2013

25 The Traveling Salesman Problem (TSP) is still one of the most researched topics in computational mathematics, and we introduce a variant of it, namely the study of the closed k-walks in graphs. We 2 G. Bullington, R. Gera, L. Eroh And S.J. Winters search for a shortest closed route visiting k cities in a non complete graph without weights. This motivates… (More)

- Grady Bullington, Linda Eroh, Kevin McDougal, Hosien Moghadam, Steven J. Winters
- Australasian J. Combinatorics
- 2007

The Connell sum sequence refers to the partial sums of the Connell sequence. In this paper, the Connell sequence, Connell sum sequence and generalizations from Iannucci and Mills-Taylor are interpreted as sums of elements of triangles, relating them to polygonal number-stuttered arithmetic progressions. The n-th element of the Connell sum sequence is… (More)

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