"style of communication" is not a phrase I've come across before, so I had to google it and found this:
http://www.angelfire.com/az2/webenglish/commstyles.html
Is that any help? Are you using it in the context of giving feedback, or in actually writing the story?
As for the key components of the short story, others can answer it better than me, but I look for a proper beginning, middle and end - so, for example, an opening chapter from a novel is unlikely to work as a short story.
It helps to tie up most, if not all, of the plot threads by the end to give it a satisfactory denoument.
Stories can be open ended or come round in a circle. I prefer the latter, where the opening echos the ending.
As with novels, avoid unnecessary exposition, backstory and info dumps in the opening paragraphs. Avoid repetition of points and scenarios - trust the reader to remember everything, even when it's only mentioned the once. Likewise, try not to include facts &/or characters which you don't revisit later in the story, because the reader will assume they are important. ie, Make sure you've used all your plot devices (incl. characters) to their best effect - eg, try not to introduce new characters and new plot devices at the end when everything is supposed to be concluding. Or introduce them at the beginning and then forget about them - think of it like a game of chess, where you set up your pieces at the beginning and play them. Anything you still have unmoved, or moved the once, on the proverbial board by the end of the story, delete as unnecessary to the story.
I'll probably think of some more in the morning.
- NaomiM
<Added>I see I've apparently contradicted myself with the 'avoid repetition', but 'try not to include facts &/or characters which you don't revisit later in the story'. Maybe reiteration is a better word than repetition, but you'll see the difference as you critique stories posted in the Short Story Group.
<Added>...the latter moves the plot along; the former just repeats the same point over and over again.
<Added>To give an example of repetition:
Story opens with wife being beaten by her drunken husband.
Husband goes down pub leaving her to clean herself up.
Stranger comes to door and sees the bruises and the empty bottles of booze by the sink.
The point is made in the last scene, so the opening - used purely to introduce the husband - can be deleted.