Suppose I am writing a sign for my front gate to warn people of the dog in the yard. I would write "Warning: Dog in Yard" as opposed to "Warning: There is a dog in the yard". The former removes many words from the sentence but the meaning is still clear.
Is there a name for this kind of concise sentence where the articles, verbs and adverbs are removed? I have found I use this kind of sentence a lot in my day-to-day work where brevity is important.