Hajos' conjecture asserts that a simple eulerian graph on n vertices can be decomposed into at most n-1/2 circuits,In this paper,we propose a new conjecture which is equivalent to Hajos' conjecture.and show th...Hajos' conjecture asserts that a simple eulerian graph on n vertices can be decomposed into at most n-1/2 circuits,In this paper,we propose a new conjecture which is equivalent to Hajos' conjecture.and show that to prove Hajos' conjecture,it is sufficent to prove this new conjecture for 3-connected graphs.Furthermore,a special 3-cut is considered also.展开更多
基金This research is partially supported by the National Postdoctoral Fund of China and Natural Science Foundation of China(No. 10001035) This work was finished while the author was working for Academy of Mathematics and Systems Science, Chinese of Academy
文摘Hajos' conjecture asserts that a simple eulerian graph on n vertices can be decomposed into at most n-1/2 circuits,In this paper,we propose a new conjecture which is equivalent to Hajos' conjecture.and show that to prove Hajos' conjecture,it is sufficent to prove this new conjecture for 3-connected graphs.Furthermore,a special 3-cut is considered also.
