ɐn ˈɛdʒ ɪz sˈæɾɪsfˌaɪd ɪf, fɔːɹ ˈiːtʃ ˈɛdʒ ˈɪdʒ wɪð ɡˈeɪn dʒˈiː ɪnðə dᵻɹˈɛkʃən fɹʌm ˈaɪ tə dʒˈeɪ, ðɪ ᵻkwˈeɪʒən ˌɛsdʒˈeɪ ˈiːkwəlz sˈiː dʒˈiː ɪz sˈæɾɪsfˌaɪd; ˈʌðɚwˌaɪz ɪɾ ɪz fɹʌstɹˈeɪɾᵻd.
An edge is satisfied if, for each edge ij with gain g (in the direction from i to j), the equation sj = si g is satisfied; otherwise it is frustrated.