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20142026
most citedA New Characterization of Path Graphs

1 citations · 1 across the 12 of their papers we have counts for

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cs.DM2021

A novel method for assessing and measuring homophily in networks through second-order statistics

Nicola Apollonio, Paolo Giulio Franciosa, Daniele Santoni

We present a new method for assessing and measuring homophily in networks whose nodes have categorical attributes, namely when the nodes of networks come partitioned into classes (…

cs.DM2019★ 1 cited

A New Characterization of Path Graphs

Nicola Apollonio, Lorenzo Balzotti

Path graphs are intersection graphs of paths in a tree.~In this paper we give a "6\ good characterization" of path graphs, namely, we prove that path graph membership is in $NP\cap…

cs.DM2015

A tight relation between series-parallel graphs and Bipartite Distance Hereditary graphs

Nicola Apollonio, Massimiliano Caramia, Paolo Giulio Franciosa +1

Bandelt and Mulder's structural characterization of Bipartite Distance Hereditary graphs asserts that such graphs can be built inductively starting from a single vertex and by repe…

cs.DM2015

On Computing the Galois Lattice of Bipartite Distance Hereditary Graphs

Nicola Apollonio, Paolo Giulio Franciosa

The class of Bipartite Distance Hereditary (BDH) graphs is the intersection between bipartite domino-free and chordal bipartite graphs.\ Graphs in both the latter classes have line…

cs.DM2014

Minimally unbalanced diamond-free graphs and Dyck-paths

N. Apollonio, A. Galluccio

A -matrix is balanced if it does not contain a submatrix of odd order having exactly two 1's per row and per column. A graph is balanced if its clique-matrix…

cs.DM2014

On the Galois Lattice of Bipartite Distance Hereditary Graphs

Nicola Apollonio, Massimiliano Caramia, Paolo Giulio Franciosa

We give a complete characterization of bipartite graphs having tree-like Galois lattices. We prove that the poset obtained by deleting bottom and top elements from the Galois latti…