For given two digraphs,we can construct a larger digraph through join.The two digraphs that make up the join are called the factors of the join.In this paper,we give a necessary and sufficient condition that the funct...For given two digraphs,we can construct a larger digraph through join.The two digraphs that make up the join are called the factors of the join.In this paper,we give a necessary and sufficient condition that the function on the join determined by the discrete Morse functions on factors is a discrete Morse function.Moreover,we further prove the discrete Morse theory on join when the factors satisfy certain conditions.展开更多
基金Supported by Science and Technology Project of Hebei Education Department(ZD2022168)Project of Cangzhou Normal University(XNJJLYB2021006)Science and Technology Project of Hebei Education Department(ZD2020410)
文摘For given two digraphs,we can construct a larger digraph through join.The two digraphs that make up the join are called the factors of the join.In this paper,we give a necessary and sufficient condition that the function on the join determined by the discrete Morse functions on factors is a discrete Morse function.Moreover,we further prove the discrete Morse theory on join when the factors satisfy certain conditions.
