F. Chen

Institute of Statistics and Applied Mathematics‎, ‎Anhui University of Finance and Economics‎, ‎Bengbu‎, ‎Anhui‎, ‎233030‎, ‎P‎. ‎R‎. ‎China.

[ 1 ] - A note on Fouquet-Vanherpe’s question and Fulkerson conjecture

‎The excessive index of a bridgeless cubic graph $G$ is the least integer $k$‎, ‎such that $G$ can be covered by $k$ perfect matchings‎. ‎An equivalent form of Fulkerson conjecture (due to Berge) is that every bridgeless‎ ‎cubic graph has excessive index at most five‎. ‎Clearly‎, ‎Petersen graph is a cyclically 4-edge-connected snark with excessive index at least 5‎, ‎so Fouquet and Vanherpe as...

نویسندگان همکار