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DM
2006
101views more  DM 2006»
14 years 12 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»
14 years 9 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»
15 years 9 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»
14 years 11 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»
14 years 11 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