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anonymous
 one year ago
What is hamaltonian graph, please explain
anonymous
 one year ago
What is hamaltonian graph, please explain

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mathmate
 one year ago
Best ResponseYou've already chosen the best response.4A connected graph is one which has all nodes connected by edges, as follows: dw:1441480164362:dw The above graph is connected because all nodes are linked to each other by edges, i.e. no islands.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.4A path traverses from one node to another, without repetition. For example: dw:1441480351863:dw

mathmate
 one year ago
Best ResponseYou've already chosen the best response.4In the previous drawing, ABC is a path. If the starting node and the ending node are the same, the path is also a cycle. dw:1441480530480:dw Here, ADCBA is a cycle.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.4When a cycle visits ALL the nodes of the graph without repetition, it is a Hamiltonian cycle. In the above example, ABCDE is a Hamiltonian cycle, and ADCBA is also a Hamiltonian cycle. On the other hand, if a PATH visits all the nodes on the graph (but does not return to the original node), then it is a hamiltonian path. Note: some synonyms used (probably in different countries) could be: cycle = tour path = trail For a list of downloadable books on Graph Theory, try: http://www.freebookcentre.net/Mathematics/GraphTheoryBooks.html

mathmate
 one year ago
Best ResponseYou've already chosen the best response.4For example, ABCD is a Hamiltonian path.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thanks a lot very helpful
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