Joseph Ray Clarence G. Damasco

collaborators

2 papers

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…