import bpy
import bmesh

# go into edit mode
bpy.ops.object.mode_set(mode='EDIT')

# deselect everything
bpy.ops.mesh.select_all(action='DESELECT')

# Get the active mesh
obj = bpy.context.edit_object
me = obj.data

# force face select mode
bpy.context.tool_settings.mesh_select_mode = (False, True, False)

# Get a BMesh representation
bm = bmesh.from_edit_mesh(me)

count = 0
# find every second face and select the first edge
for face in bm.faces:
    if (count % 2) == 0:
        edge=face.edges[0]
        edge.select_set(True)
    count = count+1

# dissolve edges
bpy.ops.mesh.dissolve_edges(use_verts=False)

# deselect everything
bpy.ops.mesh.select_all(action='DESELECT')

# Show the updates in the viewport
bmesh.update_edit_mesh(me, True)