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ENDM
2008
120views more  ENDM 2008»
13 years 5 months ago
Connectivity check in 3-connected planar graphs with obstacles
Bruno Courcelle, Cyril Gavoille, Mamadou Moustapha...
CORR
2008
Springer
135views Education» more  CORR 2008»
13 years 5 months ago
The Isomorphism Problem for Planar 3-Connected Graphs is in Unambiguous Logspace
The isomorphism problem for planar graphs is known to be efficiently solvable. For planar 3-connected graphs, the isomorphism problem can be solved by efficient parallel algorithm...
Thomas Thierauf, Fabian Wagner
SIAMDM
2000
59views more  SIAMDM 2000»
13 years 4 months ago
Nonhamiltonian 3-Connected Cubic Planar Graphs
We establish that every cyclically 4-connected cubic planar graph of order at most 40 is hamiltonian. Furthermore, this bound is determined to be sharp and we present all nonhamil...
Robert E. L. Aldred, S. Bau, Derek A. Holton, Bren...
FSTTCS
2008
Springer
13 years 6 months ago
3-connected Planar Graph Isomorphism is in Log-space
We consider the isomorphism and canonization problem for 3-connected planar graphs. The problem was known to be L -hard and in UL ∩ coUL [TW08]. In this paper, we give a determin...
Samir Datta, Nutan Limaye, Prajakta Nimbhorkar
GC
2010
Springer
13 years 3 months ago
Enumerative Properties of Rooted Circuit Maps
In 1966 Barnette introduced a set of graphs, called circuit graphs, which are obtained from 3-connected planar graphs by deleting a vertex. Circuit graphs and 3-connected planar g...
Zhicheng Gao, Han Ren