388 search results - page 5 / 78 » On the Number of Cycles in Planar Graphs |
DM
2002
13 years 7 months ago
2002
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...
COMPGEOM
2006
ACM
14 years 1 months ago
2006
ACM
Embedding metrics into constant-dimensional geometric spaces, such as the Euclidean plane, is relatively poorly understood. Motivated by applications in visualization, ad-hoc netw...
GC
2007
Springer
13 years 7 months ago
2007
Springer
A clique is a set of pairwise adjacent vertices in a graph. We determine the maximum number of cliques in a graph for the following graph classes: (1) graphs with n vertices and m ...
COMPGEOM
2010
ACM
14 years 25 days ago
2010
ACM
A graph is near-planar if it can be obtained from a planar graph by adding an edge. We show that it is NP-hard to compute the crossing number of near-planar graphs. The main idea ...
GC
2010
Springer
13 years 6 months ago
2010
Springer
In 1966 Barnette introduced a set of graphs, called circuit graphs, which are obtained from 3-connected planar graphs by deleting a vertex. Circuit graphs and 3-connected planar g...