Amanda Burcroff

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20182021

most citedTightness of Paired and Upper Domination Inequalities for Direct Product Graphs

2 citations · 4 across the 3 of their papers we have counts for

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math.CO2021

Unimodality and monotonic portions of certain domination polynomials

Amanda Burcroff, Grace O'Brien

Given a simple graph $G$ on $n$ vertices, a subset of vertices $U \subseteq V (G)$ is dominating if every vertex of $V (G)$ is either in $U$ or adjacent to a vertex of $U$ . The domin…

math.CO2020★ 2 cited

Tightness of Paired and Upper Domination Inequalities for Direct Product Graphs

Amanda Burcroff

A set $D$ of vertices in a graph $G$ is called dominating if every vertex of $G$ is either in $D$ or adjacent to a vertex of $D$ . The paired domination number $γ_{pr} (G)$ …

math.CO2020★ 2 cited

Sets Arising as Minimal Additive Complements in the Integers

Amanda Burcroff, Noah Luntzlara

A subset $C$ of an abelian group $G$ is a minimal additive complement to $W \subseteq G$ if $C + W = G$ and if $C^{'} + W \neq = G$ for any proper subset $C^{'} \subset C$ . In this paper,…

math.CO2018

Domination Parameters of the Unitary Cayley Graph of $Z / n Z$

Amanda Burcroff

The unitary Cayley graph of $Z / n Z$ , denoted $X_{n}$ , is the graph on ${0, \dots, n - 1}$ where vertices $a$ and $b$ are adjacent if and only if $g cd (a - b, n) = 1$ . We…

Unimodality and monotonic portions of certain domination polynomials

Tightness of Paired and Upper Domination Inequalities for Direct Product Graphs

Sets Arising as Minimal Additive Complements in the Integers

Domination Parameters of the Unitary Cayley Graph of Z/nZ

Domination Parameters of the Unitary Cayley Graph of $Z / n Z$