(a) Should any owner of any lot or lots within the city who shall be in violation of § 70.50 fail and/or refuse to remove any object or vehicle or to cut down and/or remove such plant or tree within ten (10) days after notice to said owner to do so, in writing, or by letter addressed to such owner at his post office address, or within ten (10) days after notice by publication as many as two (2) times within ten (10) consecutive days in any newspaper in Texas, the city may remove such object or vehicle or cut down and/or remove such plants or trees, or cause the same to be done and may pay therefore, and charge the expenses incurred in doing such work or having such work done or improvements made to the owner of such lot or lots or real estate. If such work is done or improvements made at the expense of the city, then such expenses shall be assessed on the real estate, or lot or lots upon which such expense was incurred.
(b) Should any plant, tree, object, or vehicle encroach upon any public right-of-way, the city shall have the authority to cut back or trim such plant or tree and to remove the object or vehicle or portion thereof from such right-of-way.