2011-06-07
Maximal outerplanar graphs as chordal graphs, path-neighborhood graphs, and triangle graphs
Publication
Publication
Report / Econometric Institute, Erasmus University Rotterdam p. 1- 12
Maximal outerplanar graphs are characterized using three different classes of graphs. A path-neighborhood graph is a connected graph in which every neighborhood induces a path. The triangle graph $T(G)$ has the triangles of the graph $G$ as its vertices, two of these being adjacent whenever as triangles in $G$ they share an edge. A graph is edge-triangular if every edge is in at least one triangle. The main results can be summarized as follows: the class of maximal outerplanar graphs is precisely the intersection of any of the two following classes: the chordal graphs, the path-neighborhood graphs, the edge-triangular graphs having a tree as triangle graph.
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Erasmus School of Economics | |
hdl.handle.net/1765/23560 | |
Econometric Institute Research Papers | |
Report / Econometric Institute, Erasmus University Rotterdam | |
Organisation | Erasmus School of Economics |
Laskar, R. C., Mulder, M., & Novick, B. (2011). Maximal outerplanar graphs as chordal graphs, path-neighborhood graphs, and triangle graphs (No. EI 2011-16). Report / Econometric Institute, Erasmus University Rotterdam (pp. 1–12). Retrieved from http://hdl.handle.net/1765/23560 |