Results 11 to 20 of about 55,344 (203)
On the complexity of the circular chromatic number [PDF]
AbstractCircular chromatic number, χcis a natural generalization of chromatic number. It is known that it isNP‐hard to determine whether or not an arbitrary graphGsatisfies χ(G)=χc(G). In this paper we prove that this problem isNP‐hard even if the chromatic number of the graph is known. This answers a question of Xuding Zhu.
Hamed Hatami, Ruzbeh Tusserkani
openaire +3 more sources
Leray Numbers of Tolerance Complexes
AbstractLet K be a simplicial complex on vertex set V. K is called d-Leray if the homology groups of any induced subcomplex of K are trivial in dimensions d and higher. K is called d-collapsible if it can be reduced to the void complex by sequentially removing a simplex of size at most d that is contained in a unique maximal face.
Minki Kim, Alan Lew
openaire +2 more sources
On the number of simplicial complexes in Rd [PDF]
AbstractUsing a simplex-crossing counting technique we prove: if the number of non-improperly intersecting simplices with vertices in a set S of n labeled points in Rd is O(n⌈d2⌉), then there are 2Θ(n⌈d2⌉) different geometric simplicial complexes with vertices in S.
Tamal K. Dey, Nimish R. Shah
openaire +1 more source
The complexity of the proper orientation number [PDF]
10 pages, 2 figures.
Arash Ahadi, Ali Dehghan 0001
openaire +2 more sources
ABSTRACT Background Sickle cell disease (SCD) is a chronic, inherited hemoglobinopathy that requires frequent hospitalization for disease‐related complications. Canadian data on inpatient care is limited. This study compared caregiver‐reported hospital experiences of children with SCD to those with cystic fibrosis (CF), a chronic, autosomal recessive ...
Hailey M. Zwicker +11 more
wiley +1 more source
ABSTRACT Background Osteosarcoma (OS) and Ewing sarcoma (EWS) are the most common primary bone cancers in children, but acute thrombosis is poorly characterized in this population. Our study evaluated the rates of venous thromboembolism (VTE) and associated risk factors in pediatric patients with bone sarcomas treated over a 10‐year period encompassing
Sarah Kappa +8 more
wiley +1 more source
ABSTRACT Background Children with acute lymphoblastic leukemia (ALL) are at risk of severe outcomes from SARS‐CoV‐2 (SCV2). In the post‐pandemic context, where most children have been infected with SCV2, there are limited data on whether vaccination remains beneficial in children with ALL.
Janna R. Shapiro +11 more
wiley +1 more source
ABSTRACT Claudin‐6 has emerged as a promising immunotherapeutic target, yet protein‐level data in atypical teratoid/rhabdoid tumors (AT/RTs) have been inconsistent. We analyzed 36 well‐characterized AT/RT samples and found membranous claudin‐6 protein expression in 58% of cases, with striking enrichment in the molecular subgroup AT/RT‐TYR (100%) and ...
Victoria E. Fincke +4 more
wiley +1 more source
ABSTRACT Background Wilms tumor (WT) treatment imposes a significant time burden on patients and their families. Time toxicity is a patient‐centered metric that quantifies the burden of healthcare interaction. We sought to define time toxicity in the first year after diagnosis of WT and hypothesized that it would increase as tumor stage and treatment ...
Caleb Q. Ashbrook +6 more
wiley +1 more source
On the use of complex numbers in quantum models for information retrieval
. Quantum-inspired models have recently attracted increas-ing attention in Information Retrieval. An intriguing characteristic of the mathematical framework of quantum theory is the presence of com-plex numbers.
Benjamin Piwowarski +8 more
core +1 more source

