The book-embedding problem arises in several area,such as very large scale integration(VLSI)design and routing multilayer printed circuit boards(PCBs).It can be used into various practical application fields.A book em...The book-embedding problem arises in several area,such as very large scale integration(VLSI)design and routing multilayer printed circuit boards(PCBs).It can be used into various practical application fields.A book embedding of a graph G is an embedding of its vertices along the spine of a book,and an embedding of its edges to the pages such that edges embedded on the same page do not intersect.The minimum number of pages in which a graph G can be embedded is called the pagenumber or book-thickness of the graph G.It is an important measure of the quality for book-embedding.It is NP-hard to research the pagenumber of book-embedding for a graph G.This paper summarizes the studies on the book-embedding of planar graphs in recent years.展开更多
文摘The book-embedding problem arises in several area,such as very large scale integration(VLSI)design and routing multilayer printed circuit boards(PCBs).It can be used into various practical application fields.A book embedding of a graph G is an embedding of its vertices along the spine of a book,and an embedding of its edges to the pages such that edges embedded on the same page do not intersect.The minimum number of pages in which a graph G can be embedded is called the pagenumber or book-thickness of the graph G.It is an important measure of the quality for book-embedding.It is NP-hard to research the pagenumber of book-embedding for a graph G.This paper summarizes the studies on the book-embedding of planar graphs in recent years.
