TY - JOUR
TI - Rectilinear Monotone r-Regular Planar Graphs for r = {3, 4, 5}
AU - Wulur, Arthur; Pinontoan, Benny; Mananohas, Mans
IS - Vol. 4 No. 1, Maret 2015
PB - Universitas Sam Ratulangi
JO - de CARTESIAN
PY - 2015
SP - 103
EP - 113
UR - http://ejournal.unsrat.ac.id/index.php/decartesian/article/view/8318
AB - A graph G consists of non-empty set of vertex/vertices (also called node/nodes) and the set of lines connecting two vertices called edge/edges. The vertex set of a graph G is denoted by V(G) and the edge set is denoted by E(G). A Rectilinear Monotone r-Regular Planar Graph is a simple connected graph that consists of vertices with same degree and horizontal or diagonal straight edges without vertical edges and edges crossing. This research shows that there are infinite family of rectilinear monotone r-regular planar graphs for r = 3and r = 4. For r = 5, there are two drawings of rectilinear monotone r-regular planar graphs with 12 vertices and 16 vertices. Keywords: Monotone Drawings, Planar Graphs, Rectilinear Graphs, Regular Graphs