Joseph Ray Clarence G. Damasco

most citedHighly symmetric fundamental domains for lattices in R^2 and R^3

1 citations · 1 across the 3 of their papers we have counts for

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math.CO2018

Fundamental domains for rhombic lattices with dihedral symmetry of order 8

Joseph Ray Clarence G. Damasco, Dirk Frettlöh, Manuel Joseph C. Loquias

We show by construction that every rhombic lattice $Γ$ in $R^{2}$ has a fundamental domain whose symmetry group contains the point group of $Γ$ as a subgroup of index $2$ .…

math.CO2018

Perfect colourings of regular graphs

Joseph R. C. Damasco, Dirk Frettlöh

A vertex colouring of some graph is called perfect if each vertex of colour $i$ has exactly $a_{ij}$ neighbours of colour $j$ . Being perfect imposes several restrictions on the col…

math.CO2013★ 1 cited

Highly symmetric fundamental domains for lattices in R^2 and R^3

Joseph Ray Clarence G. Damasco, Dirk Frettlöh, Manuel Joseph C. Loquias

It is shown that most lattices $Γ$ in $R^{2}$ and $R^{3}$ possess a fundamental domain $F$ for the action of $Γ$ on $R^{2}$ , respectively $R^{3}$ , havin…