Abstract. Define a complete subgraph Q to be simplicial in a graph G when Q is contained in exactly one maximal complete subgraph ('maxclique').
Define a complete subgraph Q to be simplicial in a graph G when Q is contained in exactly one maximal complete subgraph ('maxclique') of G; otherwise, Q is ...
Oct 22, 2024 · Define a complete subgraph Q to be simplicial in a graph G when Q is contained in exactly one maximal complete subgraph ('maxclique') of G; ...
In this paper, Simplicial vertices in the direct sum of two graphs are discussed. Some of their properties are studied. The conditions for a vertex to be ...
Mar 29, 2004 · 1. Introduction. In a graph G, a vertex x is simplicial if its neighbourhood N(x) induces a complete subgraph of G. A graph is triangulated if ...
Missing: nonsimplicial | Show results with:nonsimplicial
Apr 16, 2022 · In this paper, simplicial vertices in some products of two fuzzy graphs are studied. Conditions for a vertex to be simplicial in the direct ...
A clique of a graph G is a complete subgraph of G or, interchangeably, the vertex set of a complete subgraph. ... 8. , Simplicial and nonsimplicial complete ...
A vertex v of G is called simplicial iff D(v, 1) induces a complete subgraph of G, and nonsimplicial otherwise. It is well known that a graph is chordal iff it ...
Terry A. Mckee [8] introduced the concept of simplicial and non simplicial complete subgraphs. T. Tharma Raj and P.B. Sarasija [9] discussed the Beta ...
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If v is simplicial in the neighbour- hood subgraph NG(u), but v is not simplicial in the whole graph G, then there is a vertex w which is adjacent to v but not ...