most citedBiembedding Steiner Triple Systems and n-cycle Systems on Orientable Surfaces

3 citations · 3 across the 2 of their papers we have counts for

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math.CO2020

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…

math.CO2020

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…

math.CO2015★ 3 cited

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…