Shellability of simplicial balls and spheres (simplicial complexes whose geometric realizations are homeomorphic to balls and spheres) has been studied quite extensively. There are many explicit examples of shellable and nonshellable balls and spheres in the Library of Triangulations and Simplicial Complex Library. On the other hand, it is well-known that a shellable pseudomanifold is either a ball (if it has boundary) or a sphere (if its boundary is empty).

I am now searching for examples of shellable simplicial complexes that are not pseudomanifolds with dimension greater than 2. I understand that such examples have to be homotopy equivalent to a wedge of spheres, but cannot find any further discussion or any interesting constructions in the literature. I would really appreciate it if anyone can provide me with examples or references.

Edit: One class of examples I can think of is the class of shifted complexes. Are there any other notable ones?

Shellability of simplicial balls and spheres (simplicial complexes whose geometric realizations are homeomorphic to balls and spheres) has been studied quite extensively. There are many explicit examples of shellable and nonshellable balls and spheres in the Library of Triangulations and Simplicial Complex Library. On the other hand, it is well-known that a shellable pseudomanifold is either a ball (if it has boundary) or a sphere (if its boundary is empty).

I am now searching for examples of shellable simplicial complexes that are not pseudomanifolds with dimension greater than 2. I understand that such examples have to be homotopy equivalent to a wedge of spheres, but cannot find any further discussion or any interesting constructions in the literature. I would really appreciate it if anyone can provide me with examples or references.

Edit: Two classes of examples I can think of are shifted complexes and matroids (which are in fact vertex decomposable, so they are too nice for the problem I am working on). Are there any other notable ones?

Shellability of simplicial balls and spheres (simplicial complexes whose geometric realizations are homeomorphic to balls and spheres) has been studied quite extensively. There are many explicit examples of shellable and nonshellable balls and spheres in the Library of Triangulations and Simplicial Complex Library. On the other hand, it is well-known that a shellable pseudomanifold is either a ball (if it has boundary) or a sphere (if its boundary is empty).

I am now searching for examples of shellable simplicial complexes that are not pseudomanifolds with dimension greater than 2. I understand that such examples have to be homotopy equivalent to a wedge of spheres, but cannot find any further discussion or any interesting constructions in the literature. I would really appreciate it if anyone can provide me with examples or references.

Shellability of simplicial balls and spheres (simplicial complexes whose geometric realizations are homeomorphic to balls and spheres) has been studied quite extensively. There are many explicit examples of shellable and nonshellable balls and spheres in the Library of Triangulations and Simplicial Complex Library. On the other hand, it is well-known that a shellable pseudomanifold is either a ball (if it has boundary) or a sphere (if its boundary is empty).

I am now searching for examples of shellable simplicial complexes that are not pseudomanifolds with dimension greater than 2. I understand that such examples have to be homotopy equivalent to a wedge of spheres, but cannot find any further discussion or any interesting constructions in the literature. I would really appreciate it if anyone can provide me with examples or references.

Edit: One class of examples I can think of is the class of shifted complexes. Are there any other notable ones?