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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 4 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 2 months ago
Graph Theory
A well-written book about graph theory.
Reinhard Diestel

Book
1197views
15 years 2 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»
12 years 12 months 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...