-
...let c(g) denote the number of simple cycles of a graph g and let c(n) be the maximum of c(g) over all planar graphs with n nodes. we present...
-
-
...we investigate the maximum number of simple cycles and the maximum number of hamiltonian cycles in a planar graph g with n vertices. using...is an upper bound for the number of hamiltonian cycles. moreover, we obtain upper bounds for the number of simple cycles
of a given length with a...
-
...finding any fixed subgraph h in a given n-vertex planar graph [5], the multiplication constant hidden in “o” notation (which depends on the size of h) is so high, that...implement.
as a side-effect of our approach we show that the maximum number of k-cycles in n-vertex planar graph is
q</font
>...
-
...nn) space for enumerating all simple cycles of a planar graph with n vertices, where α is the total number of simple cycles in the graph unlike backtrack algorithms, cycle vector space algorithms for this...
-
...known to be np-complete. in this paper, we give a number of simple data reduction rules. each rule transforms
the input to an equivalent smaller...carried out have size linear in k. thereby we obtain that the k
-disjoint cycles problem on planar graphs has a kernel of linear size. we also present...
-
...extended,to a venn diagram,of n+1 curves,by the,addition,of a suitable simple closed curve. 1., introduction:a,venn diagram,consists,of n simple,closed,curves inthe,plane,so...are nonempty and are connected.,one can put various restrictions on the diagrams and obtain specialclasses,of venn,diagrams,[4]. the exact definitions used in this paper are given in...
-
...transversal set that intersects all (simple) cycles of length at most s in a planar graph, where s ≥ 3 is a constant...size is an exponential improvement in terms of s over the kernel size obtained under the meta-kernelization framework by bodlaender et...
-
...subexponential exact and parameterized algorithms on planar graphs. our
approach is based on geometric properties of planar branch decompositions obtained by seymour...time algorithm solving weighted hamiltonian cycle on an n-vertex planar graph. similar technique solves planar graph travelling salesman problem with n cities in time
. our approach can be...
-
...to many complexity results for planar graph problems. for exam- ple, by using this approach, many planar graph problems can be solved in time 2o( p n) , where...design paradigm for solving problems on planar graphs. the paradigm is so simple that it can be explained in any textbook on graph algorithms: compute tree or branch...