I came across this term while going through Apache TinkerPop documentation
When modeling a graph in a computer and applying it to modern data sets and practices, the generic mathematically-oriented, binary graph is extended to support both labels and key/value properties
Googling "Binary Graph" returns definition of a "Binary Tree" which doesn't seem to fit the context here.
Binary Graph is a graph data representation of a Binary Tree. Take the below Graph data (https://gremlify.com/scb244l635i) where each node can have left or right children.
g.addV('node').as('1').property(single, 'data', 22).
addV('node').as('2').property(single, 'data', 16).
addV('root').as('3').property(single, 'data', 9).
addV('node').as('4').property(single, 'data', 5).
addV('node').as('5').property(single, 'data', 2).
addV('node').as('6').property(single, 'data', 11).
addV('node').as('7').property(single, 'data', 15).
addV('node').as('8').property(single, 'data', 10).
addV('node').as('9').property(single, 'data', 1).
addV('node').as('10').property(single, 'data', 8).
addE('left').from('1').to('2').
addE('left').from('3').to('4').
addE('right').from('3').to('6').
addE('left').from('4').to('5').
addE('right').from('4').to('10').
addE('left').from('5').to('9').
addE('left').from('6').to('8').
addE('right').from('6').to('7').
addE('right').from('7').to('1')
Conditions: