M. Kilicc

activity

20152020

most citedIsometric Embeddings of Finite Metric Trees into

(R^{n}, d_{1})

and

(R^{n}, d_{\infty})

3 citations · 3 across the 4 of their papers we have counts for

collaborators

4 papers

math.MG2020★ 3 cited

Isometric Embeddings of Finite Metric Trees into $(R^{n}, d_{1})$ and $(R^{n}, d_{\infty})$

Asuman Güven Aksoy, Mehmet Kiliç, Sahin Koçak

We investigate isometric embeddings of finite metric trees into $(R^{n}, d_{1})$ and $(R^{n}, d_{\infty})$ . We prove that a finite metric tree can be isometrically em…

math.MG2016

Isometry Classes of Planes in $(R^{3}, d_{\infty})$

Mehmet Kılıç

We determine geodesics in $R_{\infty}^{n}$ (i.e. $(R^{n}, d_{\infty})$ ) and by using this, classify planes up to isometry in $R_{\infty}^{3}$ .

math.MG2015

Tight Span of Path Connected Subsets of the Manhattan Plane

Mehmet Kiliç, Şahin Koçak

We show that the tight span of a path connected subset of the Manhattan plane can be constructed in a very simple way by "hatching" the subset in horizontal and vertical directions…

math.MG2015

Tight Span of Subsets of The Plane With The Maximum Metric

Mehmet Kiliç, Şahin Koçak

We prove that a nonempty closed and geodesically convex subset of the $l_{\infty}$ plane $R_{\infty}^{2}$ is hyperconvex and we characterize the tight spans of arbitrary sub…

Isometric Embeddings of Finite Metric Trees into (Rn,d1​) and (Rn,d∞​)

Isometry Classes of Planes in (R3,d∞​)

Tight Span of Path Connected Subsets of the Manhattan Plane

Tight Span of Subsets of The Plane With The Maximum Metric

Isometric Embeddings of Finite Metric Trees into $(R^{n}, d_{1})$ and $(R^{n}, d_{\infty})$

Isometry Classes of Planes in $(R^{3}, d_{\infty})$