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How can you show that every Hamiltonian cubic graph is 3-edge-colorable?
Wiki User
∙ 12y ago
A cubic graph must have an even number of vertices. Then, a Hamilton cycle (visiting all vertices) must have an even number of vertices and also an even number of edges. Alternatively color this edges red and blue, and the remaining edges green.
Wiki User
∙ 12y ago
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What is a graph of a cubic function called?
A cubic graph!
What is the general formula for a cubic graph?
The general formula for a cubic graph is y=ax3 + bx2 + cx + d.
When do you use a cubic graph?
Never Hahaha
By which process does a cubic equation draw into the graph?
By the process of plotting.
A circuit in a connected graph which includes every vertex of the graph is known?
Eular
What is a hamiltonian path in a graph?
A path along the edges of a graph that traverses every vertex exactly once and terminates at its starting point. Also known as Hamiltonian circuit; Hamiltonian cycle.
What is a graph of a cubic function called?
A cubic graph!
The graph of a cubic is called a parabola?
No. Parabola and the cubic graph are definitely two different things.
What is the general formula for a cubic graph?
The general formula for a cubic graph is y=ax3 + bx2 + cx + d.
What is the difference between NP and NP Complete problems?
- a problem in NP means that it can be solved in polynomial time with a non-deterministic turing machine - a problem that is NP-hard means that all problems in NP are "easier" than this problem - a problem that is NP-complete means that it is in NP and it is NP-hard example - Hamiltonian path in a graph: The problem is: given a graph as input, an algorithm must say whether there is a hamiltonian path in it or not. in NP: here is an algorithm that works in polynomial time on a non-deterministic turing machine: guess a path in the graph. Check that it is really a hamiltonian path. NP-hard: we use reduction from a problem that is NP-comlete (SAT for example). Given an input for the other problem we construct a graph for the hamiltonian-path problem. The graph should have a path iff the original problem should return "true". Therefore, if there is an algorithm that executes in polynomial time, we solve all the problems in NP in polynomial time.j
When do you use a cubic graph?
Never Hahaha
What is a cubic graph?
It is a graph in three dimensions, relative to the x-, y- and z-axes.
Is every tree a graph or every graph a tree?
true
By which process does a cubic equation draw into the graph?
By the process of plotting.
What is the graph of y equals x cubed called?
A cubic function.
What is a real life application of the cubic graph?
Creating an open top box
Is every tree a bipartite graph?
Yes, every tree ia a bipartite graph (just see wikipedia).
