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Yes. If it was disconnected, you could remove an edge from the component with the lower chromatic number. This wouldn't affect the chromatic number of the first component.

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Q: Is colour-critical graph always connected
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Related questions

The points on a line graph not always connected because?

The function is not continuous.


Is tree a connected acyclic graph?

Every tree is a connected directed acylic graph.


Why don't you connect the dots on the line graph?

This question cannot be answered in a sensible way because it is based on a misunderstanding. The dots in a line graph ARE connected. That is what a line graph is. If they are not connected then it is a scatter graph.


When the points on a graph are connected and it makes sense to connect them?

No.If the points on the graph are connected then they are already connected so it would be complete waste of time to connect them.


An undirected graph becomes what when it is connected and contains no cycles or self loops?

Tree (since tree is connected acyclic graph)


What graph is uses dots connected by line?

wow. line graph.


What is Difference between tree and spanning tree?

A tree is a connected graph in which only 1 path exist between any two vertices of the graph i.e. if the graph has no cycles. A spanning tree of a connected graph G is a tree which includes all the vertices of the graph G.There can be more than one spanning tree for a connected graph G.


What is a graph with lines connected to data points called?

either a scatter graph or a line graph xx :)


What is a histogram graph is?

A histogram is a type of graph where the bars are connected. Not separatted like a regular bar graph.


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Because their is no lines on the graph to connect the point.


What is a graph made up of connected lines or curves?

Its called a line graph


How can you tell if a graph is a function?

A graph is a function if every input (x-value) corresponds to only one output (y-value). One way to check for this is to perform the vertical line test: if a vertical line intersects the graph at more than one point, the graph is not a function.