90 search results - page 1 / 18 » Connecting face hitting sets in planar graphs |
IPL
2010
13 years 2 months ago
2010
We show that any face hitting set of size n of a connected planar graph with a minimum degree of at least 3 is contained in a connected subgraph of size 5n − 6. Furthermore we s...
CORR
2007
Springer
13 years 4 months ago
2007
Springer
A barycentric mapping of a planar graph is a plane embedding in which every internal vertex is the average of its neighbours. A celebrated result of Tutte’s [16] is that if a pl...
SIGAL
1990
13 years 8 months ago
1990
In this paper we show that every 2-connected embedded planar graph with faces of sizes
GC
2010
Springer
13 years 2 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...
SIAMDM
2000
13 years 4 months ago
2000
We establish that every cyclically 4-connected cubic planar graph of order at most 40 is hamiltonian. Furthermore, this bound is determined to be sharp and we present all nonhamil...