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GD
2003
Springer
15 years 4 months ago
Fixed-Location Circular-Arc Drawing of Planar Graphs
In this paper we consider the problem of drawing a planar graph using circular arcs as edges, given a one-to-one mapping between the vertices of the graph and a set of points in t...
Alon Efrat, Cesim Erten, Stephen G. Kobourov
ARSCOM
2005
98views more  ARSCOM 2005»
14 years 11 months ago
Supereulerian planar graphs
We investigate the supereulerian graph problems within planar graphs, and we prove that if a 2-edge-connected planar graph G is at most three edges short of having two edge-disjoi...
Hong-Jian Lai, Deying Li, Jingzhong Mao, Mingquan ...
APPML
2007
101views more  APPML 2007»
14 years 11 months ago
Extension of a theorem of Whitney
It is shown that every planar graph with no separating triangles is a subgraph of a Hamiltonian planar graph; that is, Whitney’s theorem holds without the assumption of a triang...
Paul C. Kainen, Shannon Overbay
APVIS
2007
15 years 1 months ago
Straight-line grid drawings of planar graphs with linear area
A straight-line grid drawing of a planar graph G is a drawing of G on an integer grid such that each vertex is drawn as a grid point and each edge is drawn as a straight-line segm...
Md. Rezaul Karim, Md. Saidur Rahman
DM
2010
131views more  DM 2010»
14 years 11 months ago
Planar graphs without adjacent cycles of length at most seven are 3-colorable
We prove that every planar graph in which no i-cycle is adjacent to a j-cycle whenever 3 i j 7 is 3-colorable and pose some related problems on the 3-colorability of planar grap...
Oleg V. Borodin, Mickaël Montassier, Andr&eac...