Following Anders and Archer, we say that an unordered rooted labeled forest avoids the pattern σ∈Sk if in each tree, sequence of labels along shortest path from root to a vertex does not contain subsequence with same relative order as σ. For permutation σ∈Sk−2, construct bijection between n-vertex forests avoiding (σ)(k−1)k≔σ(1)⋯σ(k−2)(k−1)k (σ)k(k−1)≔σ(1)⋯σ(k−2)k(k−1), giving common generaliza...

Of 14 lines of human leukocytes, designated LK1D, LK57, LK60, LK63, LK87A, LK91, SK-L1, SK-L3, SK-L4, SK-L5, SK-L6, SK-L7, RPMI 7216, and RPMI 7466, all were classi cally diploid or very near-diploid when first examined. All but one showed occasional No. 10 chromosomes with the near terminal secondary constriction seen in Burkitt lymphoma cells in vitro. Nine lines showed accentuation of second...

Let T (G) be the number of spanning trees in graph G. In this note we explore the asymptotics of T (G) for circulant graphs. The circulant graph Cs1,s2,···,sk n is the 2k regular graph with n vertices labelled 0, 1, 2, · · · , n − 1, where node i has the 2k neighbors, (0 ≤ i ≤ n − 1) adjacent to vertices i + s1, i + s2, · · · , i + sk mod n. In this note we give a closed formula for the asympto...

Let T (G) be the number of spanning trees in graph G. In this note we explore the asymptotics of T (G) for circulant graphs. The circulant graph Cs1,s2,···,sk n is the 2k regular graph with n vertices labelled 0, 1, 2, · · · , n − 1, where node i has the 2k neighbors, (0 ≤ i ≤ n − 1) adjacent to vertices i + s1, i + s2, · · · , i + sk mod n. In this note we give a closed formula for the asympto...

AIM To assess the incidence and timing of cardiac rupture following streptokinase (SK) administration in acute myocardial infarction (AMI). METHODS We analyzed retrospectively the clinical sheets of AMI patients treated at the Coronary Care Unit in University Hospital Split, Croatia, between January 1, 1996, and December 31, 1998. We selected the patients who died after SK administration (1.5...

Small-conductance Ca2+-activated K+ channels (SK channels) are insensitive to the change of membrane potential and widely expressed throughout the nervous system in mammals [1-4]. There are three subtypes (SK1, SK2 and SK3) of SK channels and all of them have been found to express in the mammalian brain [1]. These channels are activated by rises in intracellular calcium concentration and can be...

INTRODUCTION The role of adhesion molecules in the development and progression of coronary atherosclerosis is inevitable. It is not clear yet whether these molecules increase or decrease in level after thrombolytic therapy. This study was designed to compare concentrations of soluble forms of adhesion molecules in patients with acute myocardial infarction before and after reperfusion by thrombo...

The Ramsey number for a graph G versus a graph H, denoted by R(G, H), is the smallest positive integer n such that for any graph F of order n, either F contains G as a subgraph or F contains H as a subgraph. In this paper, we investigate the Ramsey numbers for union of trees versus small cycle and small wheel. We show that if ni is odd and 2ni+1 ≥ ni for every i, then R( Sk i=1 Tni , W4) = R(Tn...

Lung metastasis constitutes the leading cause of the death in patients with osteosarcoma. We have previously reported that plasminogen activator inhibitor-1 (PAI-1) regulates the invasion and lung metastasis of osteosarcoma cells in a mouse model and as well as in clinical samples. In the present study, we examined the anti-metastatic effect of SK-216, a small compound PAI-1 inhibitor, in human...