The algae pictured is Cladophora. This is a branching, green filamentous alga, that forms a moss like structure which is why it can often be taken for Java Moss. I had this appear at the surface in my 10g tank a couple of years ago and initially didn't notice it as it was mixed in with the moss. It never became a problem, I pulled a bit out a couple times, but it may not have had suitable conditions to grow more. This algae doesn't appear to be slimy. Threads are very strong and very thin. It grows on rocks and submersed wood exposed to direct light, and in extreme cases will grow on plants also. Usually it tends to stay on one spot, which makes it easy to remove. Comb it. In a case where Cladophora takes over the grassy plants, mow the plants like the lawn. No algae eater is known to eat this kind of algae.