Linguists often represent the relationships between words in a collection of text as an undirected graph G = (V, E), were V is the vocabulary and vertices are adjacent in G if and...
Pranav Anand, Henry Escuadro, Ralucca Gera, Craig ...
We examine designs and binary codes associated with the line graph of the n-cube Qn, i.e. the Hamming graph H(n, 2). We find the automorphism groups and the parameters of the cod...
A graph G is hamiltonian-connected if any two of its vertices are connected by a Hamilton path (a path including every vertex of G); and G is s-hamiltonian-connected if the deleti...
Let k denote the maximum degree of the kth iterated line graph Lk(G). For any connected graph G that is not a path, the inequality k+1 2k - 2 holds. Niepel, Knor, and Solt
A graph G is a quasi-line graph if for every vertex v, the set of neighbors of v can be expressed as the union of two cliques. The class of quasi-line graphs is a proper superset ...
Thomassen conjectured that every 4-connected line graph is hamiltonian. A vertex cut X of G is essential if G-X has at least two nontrivial components. We prove that every 3-conne...
—We consider point to point link scheduling in Spatial Time Division Multiple Access (STDMA) wireless networks under the physical interference model. We propose a novel link sche...
N. Praneeth Kumar, Ashutosh Deepak Gore, Abhay Kar...
The line index of a graph G is the smallest k such that the kth iterated line graph of G is nonplanar. We show that the line index of a graph is either innite or it is at most 4....
For people who use text-based web browsers, graphs, diagrams, and pictures are inaccessible. Yet, such diagrams are quite prominent in documents commonly found on the web. In this...
Kathleen F. McCoy, Sandra Carberry, Tom Roper, Nan...
Scientific measurements are often depicted as line graphs. Stateof-the-art high throughput systems in life sciences, telemetry and electronics measurement rapidly generate hundred...