Add to ORKGWe generalize the strong Hanani–Tutte theorem to clustered graphs with two disjoint clus-ters, and show that an extension of our result to flat clustered graphs with three disjoint clusters is not possible. Moreover, show a variant of Hanani–Tutte theorem for c-connected clustered graphs. We also give a new and short proof for a result by Di Battista and Frati about efficient c-planarity testing of an embedded flat clustered graph with small faces. Our proof is based on the matroid intersection algorithm.
The weak variant of Hanani–Tutte theorem says that a graph is planar, if it can be drawn in the plan...
For a clustered graph, i.e, a graph whose vertex set is recursively partitioned into clusters, the C...
The clustered planarity problem (c-planarity) asks whether a hierarchically clustered graph admits a...
Abstract. We generalize the strong Hanani-Tutte theorem to clustered graphs with two disjoint cluste...
The Hanani–Tutte theorem is a classical result proved for the first time in the 1930s that character...
The Hanani–Tutte theorem is a classical result proved for the first time in the 1930s that character...
Let C be a clustered graph and suppose that the planar embedding of its underlying graph is fixed. I...
We show a polynomial-time algorithm for testing c-planarity of embedded flat clustered graphs with a...
A clustered graph C=(G,T) consists of an undirected graph G and a rooted tree T in which the leaves ...
We present several polynomial-time algorithms for c-planarity testing for clustered graphs with clus...
We present a polynomial-time algorithm for c-planarity testing of clustered graphs with fixed plane e...
In this paper we introduce a generalization of the c-planarity testing problem for clustered graphs....
We present the first characterization of c-planarity for c-connected clustered graphs. The character...
We present several polynomial-time algorithms for c-planarity testing for cluster hierarchy C contai...
For a clustered graph, i.e, a graph whose vertex set is recursively partitioned into clusters, the C...
The weak variant of Hanani–Tutte theorem says that a graph is planar, if it can be drawn in the plan...
For a clustered graph, i.e, a graph whose vertex set is recursively partitioned into clusters, the C...
The clustered planarity problem (c-planarity) asks whether a hierarchically clustered graph admits a...
Abstract. We generalize the strong Hanani-Tutte theorem to clustered graphs with two disjoint cluste...
The Hanani–Tutte theorem is a classical result proved for the first time in the 1930s that character...
The Hanani–Tutte theorem is a classical result proved for the first time in the 1930s that character...
Let C be a clustered graph and suppose that the planar embedding of its underlying graph is fixed. I...
We show a polynomial-time algorithm for testing c-planarity of embedded flat clustered graphs with a...
A clustered graph C=(G,T) consists of an undirected graph G and a rooted tree T in which the leaves ...
We present several polynomial-time algorithms for c-planarity testing for clustered graphs with clus...
We present a polynomial-time algorithm for c-planarity testing of clustered graphs with fixed plane e...
In this paper we introduce a generalization of the c-planarity testing problem for clustered graphs....
We present the first characterization of c-planarity for c-connected clustered graphs. The character...
We present several polynomial-time algorithms for c-planarity testing for cluster hierarchy C contai...
For a clustered graph, i.e, a graph whose vertex set is recursively partitioned into clusters, the C...
The weak variant of Hanani–Tutte theorem says that a graph is planar, if it can be drawn in the plan...
For a clustered graph, i.e, a graph whose vertex set is recursively partitioned into clusters, the C...
The clustered planarity problem (c-planarity) asks whether a hierarchically clustered graph admits a...