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The balancing number and list balancing number of some graph classes
Given a graph $G$, a 2-coloring of the edges of $K_n$ is said to contain a balanced copy of $G$ if we can find a copy of $G$ such that half of its edges is in each color class. If there exists an integer $k$ such that, for $n$ sufficiently large, every 2-coloring of $K_n$ with more than $k$ edges in each color contains a balanced copy of $G$, then we ...
Dailly, Antoine +3 more
openaire +2 more sources
In this work, we determine the general terms of k-almost balancing numbers and k-almost Lucas-balancing numbers of first and second type in terms of balancing and Lucas-balancing numbers for some integer k ...
core
On the Incomplete Edouard and Incomplete Edouard–Lucas Numbers
This study introduces two new sequences: the incomplete Edouard and the incomplete Edouard–Lucas numbers. In addition, we establish some of the properties, identities, and recurrence relations of these sequences. The relations of these new sequences with
Elen Viviani Pereira Spreafico +2 more
doaj +1 more source
Mersenne-Horadam identities using generating functions
The main object of the present paper is to reveal connections between Mersenne numbers $M_n=2^n-1$ and generalized Fibonacci (i.e., Horadam) numbers $w_n$ defined by a second order linear recurrence $w_n=pw_{n-1}+qw_{n-2}$, $n\geq 2$, with $w_0=a$ and ...
R. Frontczak, T.P. Goy
doaj +1 more source
ABSTRACT Background Allogeneic hematopoietic stem cell transplantation (alloHSCT) is an essential therapy for several malignant and nonmalignant diseases, but relapse and graft loss remain the principal threats to its success. Routine monitoring of chimerism and minimal residual disease (MRD) enables early detection of imminent recurrence and guides ...
Carmen Junk +10 more
wiley +1 more source
ABSTRACT Pediatric intramedullary low‐grade gliomas (PIMLGGs) are rare neoplasms that present unique clinical and management challenges. Although surgery remains the primary tool for tissue diagnosis and decompression, complete gross‐total resection is frequently unfeasible due to the infiltrative nature of these lesions.
Olga M. Sergeenko +5 more
wiley +1 more source
ABSTRACT Background Adult survivors of childhood acute lymphoblastic leukemia (ALL) are at risk of reduced exercise capacity, decreased physical activity levels, persistent fatigue, and neurocognitive deficits. The aim was to investigate exercise capacity and physical activity levels of adult survivors of childhood ALL and their associations with ...
Laura Jess +5 more
wiley +1 more source
SOME ALGEBRAIC RELATIONS ON BALANCING NUMBERS
In this work we deduce some new algebraic relations on balancing numbers and their relationships with Pell, Pell-Lucas and oblong numbers. Also we formulate the sums of balancing, Pell and Pell-Lucas numbers in terms of balancing numbers.
Gozeri, Gül, Ozkoc, Arzu, Tekcan, Ahmet
core
ABSTRACT Background Young adult childhood cancer survivors (YA‐CCS) have an increased risk of treatment‐related health complications throughout their lives. Lifelong survivorship care is recommended, yet many YA‐CCS experience disruptions in care during pediatric‐to‐adult transitions and do not receive recommended survivorship care.
Kevin Shanchen Pu +8 more
wiley +1 more source
Load Balancing for 5G Integrated Satellite-Terrestrial Networks
We propose a load balancing algorithm for a multi-RAT (radio access technology) network including a non-terrestrial network (NTN) and a terrestrial network (TN).
Syed Maaz Shahid +3 more
doaj +1 more source

