н-графта ai, aj төбелері іргелес болады, егер Aij=1 немесе Aji=1, яғни н-графта Aij= Aji=1 . Егер G мультиграф болса оның іргелестік AG матрицасының Aij элементтері анықтама бойынша ai төбесінен шығып aj төбесіне кіретін доғалардың санына тең (i,j {1,…,n}).
Егер АG–н-граф болса, оның іргелестік матрицасы АG-симметриялы, яғни . Төбені өзімен қайта қосатын доға–ілгек деп аталады. Егер графта ілгек доғалар болмаса, онда іргелестік AG матрицаның бас диагоналінде нөлдік элементтер тұрады.
3. Графының инциденттік матрица арқылы берілуі.
Анықтама: mxn мөлшерлі инциденттік матрица BG деп төмендегі ережемен анықталатын матрицаны айтамыз. G-н-граф болса
![](data:image/png;base64,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)
G орграф болса
4. Графтың қабырғаларының тізімімен берілуі:
Граф екі бағанмен беріледі: біріншісінде барлық қабырғалар еі, ал оң жақ бағанда оған инцидентті төбелер жазылады; н-граф үшін төбелердің жазылу реті еркін түрде, ал орграф үшін қабырғаның басталатын төбесі 1-ші тұрады.
1-мысал: суреттегі графты іргелес және инциденттік матрицалармен және қабырғалар тізімімен беру керек.
G1 ,G2– графтары мен олардың инциденттік матрицалары
G1, G2 графтарының сыбайлас (іргелес) матрицалары және қабырғалары мен төбелерінің тізімімен берілуі. G1-бағытталмаған граф болғандықтан төбелердің бағыты еркін түрде көрсетіледі
G графын оның әр төбесіне
Достарыңызбен бөлісу: |