Yıl 2018, Cilt 47, Sayı 3, Sayfalar 513 - 519 2018-06-01
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## On super edge-magic deficiency of certain Toeplitz graphs

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A graph $G$ is called edge-magic if there exists a bijective function $\phi:V(G)\cup E(G)\to\{1, 2,\dots,|V(G)|+|E(G)|\}$ such that $\phi(x)+\phi(xy)+\phi(y)=c(\phi)$ is a constant for every edge $xy\in E(G)$, called the valence of $\phi$. Moreover, $G$ is said to be super edge-magic if $\phi(V(G))=\{1,2,\dots,|V(G)|\}.$ The super edge-magic deficiency of a graph $G$, denoted by $\mu_s(G)$, is the minimum nonnegative integer $n$ such that $G\cup nK_1,$ has a super edge-magic labeling, if such integer does not exist we define $\mu_s(G)$ to be $+\infty.$ In this paper, we study the super edge-magic deficiency of some Toeplitz graphs.

edge-magic, super edge-magic, Toeplitz graphs
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Birincil Dil en Matematik Matematik Yazar: Ali Ahmad Yazar: Muhammad Faisal Nadeem Yazar: Ashok Gupta (Sorumlu Yazar)
 Bibtex @araştırma makalesi { hujms439926, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {Hacettepe Üniversitesi}, year = {2018}, volume = {47}, pages = {513 - 519}, doi = {}, title = {On super edge-magic deficiency of certain Toeplitz graphs}, key = {cite}, author = {Nadeem, Muhammad Faisal and Gupta, Ashok and Ahmad, Ali} } APA Ahmad, A , Nadeem, M , Gupta, A . (2018). On super edge-magic deficiency of certain Toeplitz graphs. Hacettepe Journal of Mathematics and Statistics, 47 (3), 513-519. Retrieved from http://dergipark.gov.tr/hujms/issue/38121/439926 MLA Ahmad, A , Nadeem, M , Gupta, A . "On super edge-magic deficiency of certain Toeplitz graphs". Hacettepe Journal of Mathematics and Statistics 47 (2018): 513-519 Chicago Ahmad, A , Nadeem, M , Gupta, A . "On super edge-magic deficiency of certain Toeplitz graphs". Hacettepe Journal of Mathematics and Statistics 47 (2018): 513-519 RIS TY - JOUR T1 - On super edge-magic deficiency of certain Toeplitz graphs AU - Ali Ahmad , Muhammad Faisal Nadeem , Ashok Gupta Y1 - 2018 PY - 2018 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 513 EP - 519 VL - 47 IS - 3 SN - 2651-477X-2651-477X M3 - UR - Y2 - 2017 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics On super edge-magic deficiency of certain Toeplitz graphs %A Ali Ahmad , Muhammad Faisal Nadeem , Ashok Gupta %T On super edge-magic deficiency of certain Toeplitz graphs %D 2018 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 47 %N 3 %R %U ISNAD Ahmad, Ali , Nadeem, Muhammad Faisal , Gupta, Ashok . "On super edge-magic deficiency of certain Toeplitz graphs". Hacettepe Journal of Mathematics and Statistics 47 / 3 (Haziran 2018): 513-519.