A graph G is triangle-saturated if every possible edge addition to G creates one or more new triangles (3-cycles). Such a graph is minimally triangle-saturated if removal of any edge from G leaves a graph that is not triangle-saturated.
This paper investigates adding a single new vertex to a triangle-saturated graph so as to produce a new triangle- saturated graph, and determines the ...
A graph G is triangle-saturated if every possible edge addition to G creates one or more new triangles (3-cycles). Such a graph is minimally ...
This paper investigates adding a single new vertex to a triangle-saturated graph so as to produce a new triangle-saturated graph, and determines the conditions ...
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Minimally triangle-saturated graphs: adjoining a single vertex · R. EggletonJ. MacDougall · 2002 · 2 Citations ; Two families of primitive minimally triangle- ...
A triangle-saturated graph with a non-triangular vertex x
www.researchgate.net › figure › A-triang...
A graph G is triangle-saturated if every possible edge addition to G creates one or more new triangles (3-cycles). Such a graph is minimally triangle-saturated ...
A graph G is H-saturated if G does not contain H as a subgraph but for any nonadjacent vertices u and v, G+uv contains H as a subgraph. The parameter sat(H, ...
Missing: Minimally adjoining single
May 15, 2024 · The degrees of second neighbors may be useful in determining saturation numbers of graphs which contain triangles but have larger diameters than ...
[PDF] Triangles in Ks-saturated graphs with minimum degree t
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Mar 2, 2020 · It follows from Proposition 1.3 that if G is an n-vertex K4-saturated graph with minimum degree 3, then G has at least 2n − 7 triangles, and ...
Missing: Minimally adjoining single
May 24, 2010 · As an MNH graph with a vertex of degree one must be a clique with a pendant edge (which in fact implies that the graph is edge maximum),.