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  3. a round-robin tournament is an event wherein every

A round-robin tournament is an event wherein every competing team plays every other team once and...

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Advance Math

A round-robin tournament is an event wherein every competingteam plays every other team once and only once. Assuming no ties,every game can be depicted on a graph G using a directed edge (x,y), where team x has defeated team y.

(a) Assuming n teams participate in a round-robin tournament,how many vertices and edges will graph G depicting the tournamenthave?

(b) Is it preferable to be a source or a sink in graph G?

(c) Can G have multiple sources and/or sinks? Explain why or whynot.

(d) Assuming G has a cycle, can it have a sink? Explain why orwhy not.

Answer & Explanation Solved by verified expert
3.7 Ratings (652 Votes)
Answer a In thegraph directed of a roundrobin tournament each vertex isconnected to every other vertex by a directed edge thereby forminga complete graph on nvertices Hence there will be total of n vertices andedges will    See Answer
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