I hadn't quite formulated exactly whata minimum network is, but I think what you've written is excellent.
I do think that redundancy is not necessarily something I expect of a minimum network. It's a good quality to have, but cycling does have regular roads that it can fall back on. I also feel that where possible, the network should be on off-road trails. Certain neighborhoods have been built in ways that prevent this, and on street facilities are impossible to avoid, but it should be a goal.
Finally, signage is important. Networks are only useful if you know where you are going. That means major wayfinding signs at major junctions and some sort of route naming system, and some clear indication where a given route travels. How many people know that you can travel from the Greenbrook Drive area all the way to Columbia Lake almost entirely on trails? How many know you can reach even Victoria Park on trails, or The Boardwalk?
I do think that redundancy is not necessarily something I expect of a minimum network. It's a good quality to have, but cycling does have regular roads that it can fall back on. I also feel that where possible, the network should be on off-road trails. Certain neighborhoods have been built in ways that prevent this, and on street facilities are impossible to avoid, but it should be a goal.
Finally, signage is important. Networks are only useful if you know where you are going. That means major wayfinding signs at major junctions and some sort of route naming system, and some clear indication where a given route travels. How many people know that you can travel from the Greenbrook Drive area all the way to Columbia Lake almost entirely on trails? How many know you can reach even Victoria Park on trails, or The Boardwalk?