【多选题】【消耗次数:1】
设一平面图G有 n个顶点, m 条边, r 个面,k个连通分支,则下列哪些不是欧拉公式:
m - n + r = 2;
n - m + r = k + 1;
n - r + m = k + 1;
n - m + r = 2。
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相关题目
【单选题】 设一平面图G有 n个顶点, m 条边, r 个面,k个连通分支,则下列哪个是欧拉公式:
①  m - n + r = 2;
②  n - m + r = k + 1;
③  n - r + m = k + 1;
④  n - m + r = 2。
【多选题】 设 G*是具有 k(k 3 2)个连通分支的平面图 G 的对偶图, n*, m*, r* 和 n, m, r 分别为 G*和 G 的顶点数, 边数, 面数, 则下面哪个式子正确:
①  n* = r;
②  m* = m;
③  r* = n - k + 1;
④  r* = n 。
【单选题】 设 G*是具有 k(k 3 2)个连通分支的平面图 G 的对偶图, n*, m*, r* 和 n, m, r 分别为 G*和 G 的顶点数, 边数, 面数, 则下面哪个式子不正确:
①  n* = r;
②  m* = m;
③  r* = n - k + 1;
④  r* = n 。
【多选题】 设一连通平面图G有 n个顶点, m 条边, r 个面,则下列哪些不是欧拉公式:
①  m - n + r = 2;
②  n - m - r = 2;
③  n - r + m = 2;
④  n - m + r = 2。
【判断题】 设 G*是连通平面图 G 的对偶图, n*, m*, r* 和 n, m, r 分别为 G*和 G 的顶点数, 边数, 面数, 则 r* = n - 2。
①  正确
②  错误
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①  n* = r;
②  m* = m;
③  r* = n - 2;
④  r* = n 。
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③  C.包含r×s个属性和m+n个元组
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