A caterpillar is a tree in which the removal of all pendent vertices make it a path. In this paper, we consider two classes of caterpillars. We present an ordering of caterpillars by algebraic connectivity in one of them and find one that maximizes the algebraic connectivity in the other class
AbstractA caterpillar graph is a tree in which the removal of all pendant vertices results in a chor...
Abstract. A caterpillar is a tree with the property that after deleting all its vertices of degree 1...
A graph G = (V, E) is called a pairwise compatibility graph (PCG) if there exists an edge-weighted t...
A caterpillar is a tree in which the removal of all pendant vertices makes it a path. Let d ≥ 3 and...
A caterpillar is a tree in which the removal of all pendant vertices makes it a path. Let d ≥ 3 and...
AbstractWe investigate the structure of trees that have minimal algebraic connectivity among all tre...
A spanning generalized caterpillar is a spanning tree in which all vertices of degree more than two ...
A caterpillar is a tree in which all vertices of degree three or more lie on one path, called the ba...
In this note, we consider the trees (caterpillars) that minimize the number of subtrees among trees ...
AbstractThe class of k-trees has the property that the minimal sets of vertices separating two nonad...
AbstractA connected graph G is caterpillar-pure if each spanning tree of G is a caterpillar. The cat...
A caterpillar, H, is a tree containing a path, P, such that every vertex of H is either in P or adja...
AbstractIn this paper, we study the algebraic connectivity α(T) of a tree T. We introduce six Classe...
A graph G of order n is called arbitrarily vertex decomposable if for each sequence (a₁,...,aₖ) of p...
A caterpillar is a connected graph such that the removal of all its vertices with degree 1 results i...
AbstractA caterpillar graph is a tree in which the removal of all pendant vertices results in a chor...
Abstract. A caterpillar is a tree with the property that after deleting all its vertices of degree 1...
A graph G = (V, E) is called a pairwise compatibility graph (PCG) if there exists an edge-weighted t...
A caterpillar is a tree in which the removal of all pendant vertices makes it a path. Let d ≥ 3 and...
A caterpillar is a tree in which the removal of all pendant vertices makes it a path. Let d ≥ 3 and...
AbstractWe investigate the structure of trees that have minimal algebraic connectivity among all tre...
A spanning generalized caterpillar is a spanning tree in which all vertices of degree more than two ...
A caterpillar is a tree in which all vertices of degree three or more lie on one path, called the ba...
In this note, we consider the trees (caterpillars) that minimize the number of subtrees among trees ...
AbstractThe class of k-trees has the property that the minimal sets of vertices separating two nonad...
AbstractA connected graph G is caterpillar-pure if each spanning tree of G is a caterpillar. The cat...
A caterpillar, H, is a tree containing a path, P, such that every vertex of H is either in P or adja...
AbstractIn this paper, we study the algebraic connectivity α(T) of a tree T. We introduce six Classe...
A graph G of order n is called arbitrarily vertex decomposable if for each sequence (a₁,...,aₖ) of p...
A caterpillar is a connected graph such that the removal of all its vertices with degree 1 results i...
AbstractA caterpillar graph is a tree in which the removal of all pendant vertices results in a chor...
Abstract. A caterpillar is a tree with the property that after deleting all its vertices of degree 1...
A graph G = (V, E) is called a pairwise compatibility graph (PCG) if there exists an edge-weighted t...