On a two-parameter generalization of Jacobsthal numbers and its graph interpretation
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2018)
- Volume: 72, Issue: 2
- ISSN: 0365-1029
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topDorota Bród. "On a two-parameter generalization of Jacobsthal numbers and its graph interpretation." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 72.2 (2018): null. <http://eudml.org/doc/290756>.
@article{DorotaBród2018,
abstract = {In this paper we introduce a two-parameter generalization of the classical Jacobsthal numbers ((s,p)-Jacobsthal numbers). We present some properties of the presented sequence, among others Binet’s formula, Cassini’s identity, the generating function. Moreover, we give a graph interpretation of (s,p)-Jacobsthal numbers, related to independence in graphs.},
author = {Dorota Bród},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {Jacobsthal numbers; generalized Jacobsthal numbers; Binet’s formula; generating function; graph interpretation; Merrifield-Simmons index},
language = {eng},
number = {2},
pages = {null},
title = {On a two-parameter generalization of Jacobsthal numbers and its graph interpretation},
url = {http://eudml.org/doc/290756},
volume = {72},
year = {2018},
}
TY - JOUR
AU - Dorota Bród
TI - On a two-parameter generalization of Jacobsthal numbers and its graph interpretation
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2018
VL - 72
IS - 2
SP - null
AB - In this paper we introduce a two-parameter generalization of the classical Jacobsthal numbers ((s,p)-Jacobsthal numbers). We present some properties of the presented sequence, among others Binet’s formula, Cassini’s identity, the generating function. Moreover, we give a graph interpretation of (s,p)-Jacobsthal numbers, related to independence in graphs.
LA - eng
KW - Jacobsthal numbers; generalized Jacobsthal numbers; Binet’s formula; generating function; graph interpretation; Merrifield-Simmons index
UR - http://eudml.org/doc/290756
ER -
References
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- Szynal-Liana, A., Włoch, A., Włoch, I., On generalized Pell numbers generated by Fibonacci and Lucas numbers, Ars Combin. 115 (2014), 411-423.
- Uygun, S., The (s,t)-Jacobsthal and (s,t)-Jacobsthal Lucas sequences, Applied Mathematical Sciences 9 (70) (2015), 3467-3476.
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