Here is a right angled triangle.The two shorter sides are three and fourunits long.How many units long is the longest side?Can you tell without measuring?How?About 2500 years ago(500 B. C.)a great Greek,
D. E. Knuth introduced in his book, 'The Art of Programming' Vol. 3, the concept of degree path length of a tree. The degree path length of a tree is the sum, taken over all leaf nodes, of the internal-nodes d...D. E. Knuth introduced in his book, 'The Art of Programming' Vol. 3, the concept of degree path length of a tree. The degree path length of a tree is the sum, taken over all leaf nodes, of the internal-nodes degree on the path from the leaf to the root. In this letter, we will answer the following question: For any given integer n≥0, what is the total number of degree path length of all structurally different n-node binary trees, ternary trees, t-ary trees or ordered trees?展开更多
文摘Here is a right angled triangle.The two shorter sides are three and fourunits long.How many units long is the longest side?Can you tell without measuring?How?About 2500 years ago(500 B. C.)a great Greek,
文摘D. E. Knuth introduced in his book, 'The Art of Programming' Vol. 3, the concept of degree path length of a tree. The degree path length of a tree is the sum, taken over all leaf nodes, of the internal-nodes degree on the path from the leaf to the root. In this letter, we will answer the following question: For any given integer n≥0, what is the total number of degree path length of all structurally different n-node binary trees, ternary trees, t-ary trees or ordered trees?
