Results 51 to 60 of about 1,974,122 (287)

The differential on operator S(Γ)

Mathematical Biosciences and Engineering, 2023
Consider a simple graph $ \Gamma = (V(\Gamma), E(\Gamma)) $ with $ n $ vertices and $ m $ edges. Let $ P $ be a subset of $ V(\Gamma) $ and $ B(P) $ the set of neighbors of $ P $ in $ V(\Gamma)\backslash P $.
Jair Castro, Ludwin A. Basilio , Gerardo Reyna, Omar Rosario   +3 more
doaj   +1 more source

Degree Sequence Index Strategy [PDF]

, 2012
We introduce a procedure, called the Degree Sequence Index Strategy (DSI), by which to bound graph invariants by certain indices in the ordered degree sequence.
Caro, Yair, Pepper, Ryan
core  

What to Do When Medical Evidence Can Only Be Generated Through Routine Data: An Example From Pediatric Oncology

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Children undergoing allogeneic stem cell transplantation often receive off‐label rituximab treatment for Epstein–Barr virus reactivation, using adult dosing without pediatric evidence. This project aims to develop a clinical decision support tool (CDSS) that provides evidence‐based dosing scenarios by analyzing real‐world patient data.
Birgit Burkhardt, Antje Walz, Dietrich Knoerzer   +2 more
wiley   +1 more source

Looseness and Independence Number of Triangulations on Closed Surfaces

Discussiones Mathematicae Graph Theory, 2016
The looseness of a triangulation G on a closed surface F2, denoted by ξ (G), is defined as the minimum number k such that for any surjection c : V (G) → {1, 2, . . . , k + 3}, there is a face uvw of G with c(u), c(v) and c(w) all distinct. We shall bound
Nakamoto Atsuhiro, Negami Seiya, Ohba Kyoji, Suzuki Yusuke   +3 more
doaj   +1 more source

New Results Relating Independence and Matchings

Discussiones Mathematicae Graph Theory, 2022
In this paper we study relationships between the matching number, written µ(G), and the independence number, written α(G).
Caro Yair, Davila Randy, Pepper Ryan
doaj   +1 more source

On the independence ratio of distance graphs [PDF]

, 2014
A distance graph is an undirected graph on the integers where two integers are adjacent if their difference is in a prescribed distance set. The independence ratio of a distance graph $G$ is the maximum density of an independent set in $G$. Lih, Liu, and
Carraher, James M., Galvin, David, Hartke, Stephen G., Radcliff, A. J., Stolee, Derrick   +4 more
core   +1 more source

On the phase transitions of graph coloring and independent sets

, 2002
We study combinatorial indicators related to the characteristic phase transitions associated with coloring a graph optimally and finding a maximum independent set.
Ahuja, Barbosa, Barbosa, Barbosa, Barbosa, Barbosa, Berge, Boettcher, Bollobás, Bollobás, Brélaz, Carraghan, Cherkassky, Cormen, Culberson, Deming, Dilworth, Gallai, Garey, Giordana, Hartmann, Johnson, Karp, Lass, Mitchell, Monasson, Roy, Rubens G. Ferreira, Stanley, Stanley, Stanley, Valmir C. Barbosa, Vo, Weigt, Wu   +34 more
core   +2 more sources

Stereotactic Body Radiation Therapy for Pediatric, Adolescent, and Young Adult Patients With Osteosarcoma: Local Control Outcomes With Dosimetric Analysis

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background/Objectives Osteosarcoma is a radioresistant tumor that may benefit from stereotactic body radiation therapy (SBRT) for locoregional control in metastatic/recurrent disease. We report institutional practice patterns, outcomes, toxicity, and failures in osteosarcoma patients treated with SBRT.
Jenna Kocsis, Shauna R. Campbell, Jonathan Jang, Eashwar Somasundaram, Chandana A. Reddy, Jacob G. Scott, Lilyana Angelov, Peter M. Anderson, Matteo Trucco, Zachary Burke, Lukas Nystrom, Nathan Mesko, Anthony Magnelli, Erin S. Murphy   +13 more
wiley   +1 more source

Changes in Body Composition in Children and Young People Undergoing Treatment for Acute Lymphoblastic Leukemia: A Systematic Review and Meta‐Analysis

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Ongoing evidence indicates increased risk of sarcopenic obesity among children and young people (CYP) with acute lymphoblastic leukemia (ALL), often beginning early in treatment, persisting into survivorship. This review evaluates current literature on body composition in CYP with ALL during and after treatment.
Lina A. Zahed, Raquel Revuelta Iniesta, Mary Fewtrell, Julie Lanigan, Breeana Gardiner, Graeme O'Connor   +5 more
wiley   +1 more source

A synchronous game for binary constraint systems

, 2017
Recently, W. Slofstra proved that the set of quantum correlations is not closed. We prove that the set of synchronous quantum correlations is not closed, which implies his result, by giving an example of a synchronous game that has a perfect quantum ...
Kim, Se-Jin, Paulsen, Vern I., Schafhauser, Christopher   +2 more
core   +1 more source