388 search results - page 48 / 78 » On the Number of Cycles in Planar Graphs |
105
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CORR
2010
Springer
14 years 9 months ago
2010
Springer
We present a method for proving upper bounds on the eigenvalues of the graph Laplacian. A main step involves choosing an appropriate "Riemannian" metric to uniformize th...
105
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JCT
2010
14 years 10 months ago
2010
A graph G on n vertices is Hamiltonian if it contains a cycle of length n and pancyclic if it contains cycles of length for all 3 ≤ ≤ n. Write α(G) for the independence numbe...
JCT
2007
14 years 11 months ago
2007
An edge in a drawing of a graph is called even if it intersects every other edge of the graph an even number of times. Pach and T´oth proved that a graph can always be redrawn so...
100
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GD
2004
Springer
15 years 5 months ago
2004
Springer
Pinchasi and Radoiˇci´c [11] used the following observation to bound the number of edges of a topological graph without a self-crossing cycle of length 4: if we make a list of t...
COMBINATORICS
2007
14 years 11 months ago
2007
We determine the exact and asymptotic number of unlabeled outerplanar graphs. The exact number gn of unlabeled outerplanar graphs on n vertices can be computed in polynomial time,...