How to know if the graph is an interval graph?
Dec 30, 2014 · 1 There are linear algorithms for recognizing interval graphs (Using PQ-trees or Lex BFS). But here it is convenient to use its forbidden graph characterization. You can check …
Interval Graphs - Mathematics Stack Exchange
Apr 11, 2022 · In graph theory, an interval graph is an undirected graph formed from a set of intervals on the real line, with a vertex for each interval and an edge between vertices whose …
How to prove that maximal independent set is equal to maximum ...
Since the intervals are all disjoint, the resulting graph is also disjoint. Clearly the set of all vertices is a maximal independent set due to the disjointness. Clearly it is maximum because its …
group theory - Show that $C_4$ is not an interval graph and every …
Nov 19, 2015 · Assume that $C_4$ has an interval representation, because $a$ is not conneted to $c$, their interval must be disjoint, say the interval of $a$ is to the left of the one of $c$.
Is a chordal graph with exactly two simplicial vertices an interval ...
Jun 11, 2024 · A graph is called an interval graph if each of its vertices can be associated with an interval on the real line in such a way that two vertices are adjacent if and only if the …
determine the intervals in which the graph is increasing
Oct 21, 2015 · Determine the intervals where the graph increases. I don't know how to draw a graph here or if it is possible. I think that the answer is B, but I'm not really sure.
Not an interval graph, so what is it? - Mathematics Stack Exchange
Feb 9, 2012 · 1 I've constructed a graph in a simular way an interval graph would be constructed from the overlap of intervals. But my intervals are from a modular domain. Given $\mathit …
Clique number and chromatic number equal for interval graph-proof
Jul 5, 2012 · 1 This follows immediately from the fact that interval graphs are perfect (conversely, the fact that interval graphs are perfect follows from the clique number and chromatic number …
How to understand the equivalence statement of interval graphs?
Jun 9, 2024 · An interval graph is an undirected graph formed from a set of intervals on the real line, with a vertex for each interval and an edge between vertices whose intervals intersect. I …
How to use graph to determine where f(x) > 0 and f(x) < 0
Oct 14, 2016 · How to write this in interval notation? I can't seem to get the right answer.