388 search results - page 48 / 78 » On the Number of Cycles in Planar Graphs |
CORR
2010
Springer
13 years 5 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...
JCT
2010
13 years 6 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
13 years 7 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...
GD
2004
Springer
14 years 1 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
13 years 7 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,...