Add to ORKGAbstract. We present the set of planar graphs that always have a simultaneous geometric embedding with a strictly monotonic path on the same set of n vertices, for any of the n! possible mappings. These graphs are equivalent to the set of unlabeled level planar (ULP) graphs that are level planar over all possible labelings. Our contributions are twofold. First, we provide linear time drawing algorithms for ULP graphs. Second, we provide a complete characterization of ULP graphs by showing that any other graph must contain a subgraph homeomorphic to one of seven forbidden graphs.
We introduce and study the problem Ordered Level Planarity which asks for a planar drawing of a grap...
A drawing of a graph is a monotone drawing if for every pair of vertices u and v there is a path dra...
Let G = (V;E) be a directed graph and : V ! [k] := f1; : : : ; kg a level assignment such that ℓ(u) ...
We present the set of planar graphs that always have a simultaneous geometric embedding with a stric...
Consider a graph G with vertex set V in which each of the n vertices is assigned a number from the s...
AbstractConsider a graph G with vertex set V in which each of the n vertices is assigned a number fr...
Suppose that an n-vertex graph has a distinct labeling with the integers {1, . . . , n}. Such a grap...
Consider a graph G drawn in the plane so that each vertex lies on a distinct horizontal line $\ell_...
A level graph G = (V,E,phi) is a directed acyclic graph with a mapping phi:V ->{1,2,...,k}, k >= 1, ...
In a level directed acyclic graph G=(V,E) the vertex set V is partitioned into k \le |V| levels V^1,...
In a level directed acyclic graph G = (V,E) the vertex set V is partitioned into k <= |V| levels V 1...
A level graph G =(V,E,φ) is a directed acyclic graph with a mapping φ: V →{1, 2,...,k}, k ≥ 1, that ...
AbstractWe present a characterization of level planar graphs in terms of minimal forbidden subgraphs...
A level graph G = (V,E,lev) is a directed acyclic graph with a mapping lev : V -> {1,2,dots,k}, k >=...
A level graph G = (V,E,lev) is a directed acyclic graph with a mapping lev : V -> {1,2,dots,k}, k >=...
We introduce and study the problem Ordered Level Planarity which asks for a planar drawing of a grap...
A drawing of a graph is a monotone drawing if for every pair of vertices u and v there is a path dra...
Let G = (V;E) be a directed graph and : V ! [k] := f1; : : : ; kg a level assignment such that ℓ(u) ...
We present the set of planar graphs that always have a simultaneous geometric embedding with a stric...
Consider a graph G with vertex set V in which each of the n vertices is assigned a number from the s...
AbstractConsider a graph G with vertex set V in which each of the n vertices is assigned a number fr...
Suppose that an n-vertex graph has a distinct labeling with the integers {1, . . . , n}. Such a grap...
Consider a graph G drawn in the plane so that each vertex lies on a distinct horizontal line $\ell_...
A level graph G = (V,E,phi) is a directed acyclic graph with a mapping phi:V ->{1,2,...,k}, k >= 1, ...
In a level directed acyclic graph G=(V,E) the vertex set V is partitioned into k \le |V| levels V^1,...
In a level directed acyclic graph G = (V,E) the vertex set V is partitioned into k <= |V| levels V 1...
A level graph G =(V,E,φ) is a directed acyclic graph with a mapping φ: V →{1, 2,...,k}, k ≥ 1, that ...
AbstractWe present a characterization of level planar graphs in terms of minimal forbidden subgraphs...
A level graph G = (V,E,lev) is a directed acyclic graph with a mapping lev : V -> {1,2,dots,k}, k >=...
A level graph G = (V,E,lev) is a directed acyclic graph with a mapping lev : V -> {1,2,dots,k}, k >=...
We introduce and study the problem Ordered Level Planarity which asks for a planar drawing of a grap...
A drawing of a graph is a monotone drawing if for every pair of vertices u and v there is a path dra...
Let G = (V;E) be a directed graph and : V ! [k] := f1; : : : ; kg a level assignment such that ℓ(u) ...