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Max and min amount of nodes in a graph


expectation value of changing color in a graphCrossing number of simple undirected graphGraph Theory involving bipartite graphsUndirected Graph BipartiteCycle containing two given nodes in an undirected graphNumber of distinct connected undirected graphs possible with n nodes and k edgesHow many paths possible in a 3x3 matrix shaped graph, visiting n nodes?An inequality for graph nodes and edgesTree graph with only two nodesSplitting up the nodes of a Graph such that all nodes in these graphs have even degree.













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$begingroup$



Suppose you are given an undirected (simple) graph $G = (V,E)$ with $|E| = 30$, and $d(v) ge 3$ for all $v in V$. How many nodes can the graph possibly have? Give both an upper and a lower bound.




How would one calculate the solution?



Thank you!










share|cite|improve this question











$endgroup$
















    0












    $begingroup$



    Suppose you are given an undirected (simple) graph $G = (V,E)$ with $|E| = 30$, and $d(v) ge 3$ for all $v in V$. How many nodes can the graph possibly have? Give both an upper and a lower bound.




    How would one calculate the solution?



    Thank you!










    share|cite|improve this question











    $endgroup$














      0












      0








      0





      $begingroup$



      Suppose you are given an undirected (simple) graph $G = (V,E)$ with $|E| = 30$, and $d(v) ge 3$ for all $v in V$. How many nodes can the graph possibly have? Give both an upper and a lower bound.




      How would one calculate the solution?



      Thank you!










      share|cite|improve this question











      $endgroup$





      Suppose you are given an undirected (simple) graph $G = (V,E)$ with $|E| = 30$, and $d(v) ge 3$ for all $v in V$. How many nodes can the graph possibly have? Give both an upper and a lower bound.




      How would one calculate the solution?



      Thank you!







      graph-theory






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Mar 17 at 20:47









      pointguard0

      1,55211021




      1,55211021










      asked Mar 17 at 20:43









      adradr

      12




      12




















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