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» Hamilton Cycles in Planar Locally Finite Graphs
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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
JCT
2006
134views more  JCT 2006»
13 years 5 months ago
MacLane's planarity criterion for locally finite graphs
MacLane's planarity criterion states that a finite graph is planar if and only if its cycle space has a basis B such that every edge is contained in at most two members of B....
Henning Bruhn, Maya Jakobine Stein

Book
1174views
15 years 3 months ago
Graph Theory
A well-written book about graph theory.
Reinhard Diestel

Book
1197views
15 years 3 months ago
Graph Theory with Applications
A classic book on graph theory.
J.A. Bondy and U.S.R. Murty
CORR
2011
Springer
138views Education» more  CORR 2011»
13 years 9 days ago
On the resilience of Hamiltonicity and optimal packing of Hamilton cycles in random graphs
Let k = (k1, . . . , kn) be a sequence of n integers. For an increasing monotone graph property P we say that a base graph G = ([n], E) is k-resilient with respect to P if for eve...
Sonny Ben-Shimon, Michael Krivelevich, Benny Sudak...