عنوان
|
VERY WELL-COVERED GRAPHS AND THEIR h-VECTORS
|
نوع پژوهش
|
مقاله چاپشده در مجلات علمی
|
کلیدواژهها
|
Very-well covered graph, h-vector, flag complex, Cohen–Macaulay vertex decomposable.
|
چکیده
|
Let G be a Cohen–Macaulay very well-covered graph. We prove that the h-vector of the independence complex of G is precisely the f-vector of a flag complex. Moreover, we show that the h-vector of clique-whiskered graphs is exactly the h-vector of Cohen–Macaulay very well-covered graphs. In particular, we show that Kalai’s conjecture holds if G is a very well covered Cohen–Macaulay graph.
|
پژوهشگران
|
ناصر حاج شریفی (نفر اول)، سیامک یاسمی (نفر سوم)، علی سلیمان جهان (نفر دوم)
|