33 citations · 36 across the 3 of their papers we have counts for
4 papers
The Chromatic Number of Joins of Signed Graphs
Amelia R. W. Mattern
We introduce joins of signed graphs and explore the chromatic number of the all-positive and all-negative joins. We prove an analogue to the theorem that the chromatic number of th…
Deficiency in Signed Graphs
Amelia R. W. Mattern
We introduce the concept of deficiency in signed graphs. The deficiency of a coloration is the number of unused colors. We classify the deficiency of 2-chromatic graphs. There are…
Biembedding Steiner Triple Systems and n-cycle Systems on Orientable Surfaces
Jeffrey H. Dinitz, Amelia R. W. Mattern
In 2015, Archdeacon introduced the notion of Heffter arrays and showed the connection between Heffter arrays and biembedding m-cycle and an n-cycle systems on a surface. In this pa…
On Partial Sums in Cyclic Groups
D. S. Archdeacon, J. H. Dinitz, A. Mattern +1
We are interested in ordering the elements of a subset A of the non-zero integers modulo n in such a way that all the partial sums are distinct. We conjecture that this can always…