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DM
2006
101views more  DM 2006»
13 years 5 months ago
Cycle double covers and spanning minors II
In this paper we continue our investigations from [HM01] regarding spanning subgraphs which imply the existence of cycle double covers. We prove that if a cubic graph G has a spann...
Roland Häggkvist, Klas Markström
COCO
2010
Springer
131views Algorithms» more  COCO 2010»
13 years 2 months ago
On the Matching Problem for Special Graph Classes
An even cycle in a graph is called nice by Lov
Thanh Minh Hoang
STOC
2010
ACM
274views Algorithms» more  STOC 2010»
14 years 2 months ago
Odd Cycle Packing
We study the ratio between the minimum size of an odd cycle vertex transversal and the maximum size of a collection of vertex-disjoint odd cycles in a planar graph. We show that th...
Ken-ichi Kawarabayashi and Bruce Reed
DM
2002
104views more  DM 2002»
13 years 5 months ago
4-connected maximal planar graphs are 4-ordered
It is shown that in a 4-connected maximal planar graph there is for any four vertices a, b, c and d, a cycle in the graph that contains the four vertices and visits them in the or...
Wayne Goddard
SIAMDM
2008
86views more  SIAMDM 2008»
13 years 4 months ago
Hamilton Cycles in Planar Locally Finite Graphs
A classical theorem by Tutte assures the existence of a Hamilton cycle in every finite 4-connected planar graph. Extensions of this result to infinite graphs require a suitable co...
Henning Bruhn, Xingxing Yu