scholarly journals Graph orientation satisfying that all nodes in a given subset have in- or out-degree 0, and every other node positive indegree

2018 ◽  
Author(s):  
Thinh D. Nguyen

We show that it is hard to orient a digraph such that all nodes in a given subset have in- or out-degree 0, and every other node positive indegree.

2018 ◽  
Author(s):  
Thinh D. Nguyen

We show that it is hard to orient a digraph such that all nodes in a given subset have in- or out-degree 0, and every other node positive indegree.


2006 ◽  
Vol 175 (4S) ◽  
pp. 311-312
Author(s):  
Philippe E. Spiess ◽  
Joseph E. Busby ◽  
Jennifer Jordan ◽  
Mike Hernandez ◽  
Patricia Troncoso ◽  
...  

2005 ◽  
Vol 173 (4S) ◽  
pp. 358-358
Author(s):  
Wassim Kassouf ◽  
Dan Leibovici ◽  
Xian Zhou ◽  
Colin P.N. Dinney ◽  
G.H. Barton ◽  
...  

2016 ◽  
Vol 82 (6) ◽  
pp. 518-521 ◽  
Author(s):  
Mohd Raashid Sheikh ◽  
Houssam Osman ◽  
Susannah Cheek ◽  
Shenee Hunter ◽  
Dhiresh Rohan Jeyarajah

Treatment of gall bladder cancer (GBC) has traditionally been viewed with pessimism and lymph node positivity has been associated with worse prognosis. The aim of this study is to analyze the role of radical cholecystectomy in T2 tumors. All patients who underwent surgery for GBC between September 2005 and June 2014 were identified retrospectively. Data collected included clinical presentation, operative findings, and histopathological data. Twenty-five patients had incidental GBC diagnosis after cholecystectomy. Ten patients were T2 on initial cholecystectomy pathology and all underwent radical resection. Two patients were N1 on initial cholecystectomy pathology. Four were upstaged to N1 and two patients were upstaged to T3 after further surgery. Overall, 60 per cent patients with T2 disease had node positivity and 60 per cent were upstaged by further surgery. Eleven patients were diagnosed on imaging. Four of these patients were unresectable and six were either stage T3 or higher or node positive. Sixty per cent of T2 GBC was node positive and 60 per cent were upstaged with radical cholecystectomy. This finding supports the call for radical resection in patients with incidental diagnosis of T2 tumor on cholecystectomy. This study also emphasizes the role of radical surgery in accurate T staging.


2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Fabio Puglisi ◽  
Lorenzo Gerratana ◽  
Matteo Lambertini ◽  
Marcello Ceppi ◽  
Luca Boni ◽  
...  

AbstractThe GIM2 phase III trial demonstrated the benefit of dose-dense chemotherapy in node-positive early breast cancer (eBC). To better define the dose-dense effect in the hormone receptor-positive subgroup, we evaluated its benefit through a composite measure of recurrence risk. We conducted an ancillary analysis of the GIM2 trial evaluating the absolute treatment effect through a composite measure of recurrence risk (CPRS) in patients with hormone receptor-positive HER2-negative eBC. CPRS was estimated through Cox proportional hazards models applied to the different clinicopathological features. The treatment effect was compared to the values of CPRS by using the Sub-population Treatment Effect Pattern Plot (STEPP) process. The Disease-Free Survival (DFS)-oriented STEPP analysis showed distinct patterns of relative treatment effect with respect to CPRS. Overall, 5-year DFS differed across CPRS quartiles ranging from 95.2 to 66.4%. Each CPRS quartile was characterized by a different patients’ composition, especially for age, lymph node involvement, tumor size, estrogen and progesterone receptor expression, and Ki-67. A number needed to treat of 154 and 6 was associated with the lowest and the highest CPRS quartile, respectively. Dose-dense adjuvant chemotherapy showed a consistent benefit in node-positive eBC patients with hormone receptor-positive HER2-negative disease, but its effect varied according to CPRS.


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