Pairwise compatibility graphs: A survey
A graph G=(V,E) is a pairwise compatibility graph (PCG) if there exists an edge-weighted
tree T and two nonnegative real numbers d_min and d_max such that each leaf u of T is a …
tree T and two nonnegative real numbers d_min and d_max such that each leaf u of T is a …
All graphs with at most seven vertices are pairwise compatibility graphs
A graph G is called a pairwise compatibility graph (PCG) if there exists an edge-weighted
tree T and two non-negative real numbers d min and d max such that each leaf lu of T …
tree T and two non-negative real numbers d min and d max such that each leaf lu of T …
A survey on pairwise compatibility graphs
Let T be an edge weighted tree and dmin, dmax be two non-negative real numbers where d
min≤ d max. The pairwise compatibility graph (PCG) of T for dmin, dmax is a graph G such …
min≤ d max. The pairwise compatibility graph (PCG) of T for dmin, dmax is a graph G such …
On 2-interval pairwise compatibility properties of two classes of grid graphs
A graph is called a pairwise compatibility graph (PCG) if it admits a tuple of an edge-
weighted tree of non-negative edge weights with leaf set, two non-negative real numbers …
weighted tree of non-negative edge weights with leaf set, two non-negative real numbers …
Characterizing star-PCGs
M **ao, H Nagamochi - Algorithmica, 2020 - Springer
A graph G is called a pairwise compatibility graph (PCG, for short) if it admits a tuple (T, w,
d_\min, d_\max)(T, w, d min, d max) of a tree T whose leaf set is equal to the vertex set of G …
d_\min, d_\max)(T, w, d min, d max) of a tree T whose leaf set is equal to the vertex set of G …
[HTML][HTML] Exact-2-relation graphs
Pairwise compatibility graphs (PCGs) with non-negative integer edge weights recently have
been used to describe rare evolutionary events and scenarios with horizontal gene transfer …
been used to describe rare evolutionary events and scenarios with horizontal gene transfer …
A method for enumerating pairwise compatibility graphs with a given number of vertices
Abstract Azam et al.(2018) proposed a method to enumerate all pairwise compatibility
graphs (PCGs) with a given number n of vertices. For a tuple (G, T, σ, λ) of a graph G with n …
graphs (PCGs) with a given number n of vertices. For a tuple (G, T, σ, λ) of a graph G with n …
New results on pairwise compatibility graphs
Abstract A graph G=(V, E) is called a pairwise compatibility graph (PCG) if there exists an
edge-weighted tree T and two non-negative real numbers dmin and dmax such that each …
edge-weighted tree T and two non-negative real numbers dmin and dmax such that each …
Recognition of linear and star variants of leaf powers is in p
A k-leaf power of a tree T is a graph G whose vertices are the leaves of T and whose edges
connect pairs of leaves whose distance in T is at most k. A graph is a leaf power if it is ak-leaf …
connect pairs of leaves whose distance in T is at most k. A graph is a leaf power if it is ak-leaf …
[HTML][HTML] Some classes of graphs that are not PCGs
Abstract A graph G=(V, E) is a pairwise compatibility graph (PCG) if there exists an edge-
weighted tree T and two non-negative real numbers dmin and dmax, dmin≤ dmax, such that …
weighted tree T and two non-negative real numbers dmin and dmax, dmin≤ dmax, such that …