Complex sentence: Every multi-way or k-ary tree structure studied in computer science admits a representation as a binary tree, which goes by various names including child-sibling representation, left-child, right-sibling binary tree, doubly chained tree or filial-heir chain.
Split into simpler sentences: Every multi-way or k-ary tree structure studied in computer science admits a representation as a binary tree. This representation may also be called the child-sibling representation left-child, right-sibling binary tree, doubly chained tree or filial-heir chain.