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Splices, Links, and their Edge-Degree Distances | ||
| Transactions on Combinatorics | ||
| مقاله 3، دوره 6، شماره 4، اسفند 2017، صفحه 29-42 اصل مقاله (234.47 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/toc.2017.21614 | ||
| نویسندگان | ||
| Mahdieh Azari* 1؛ Hojjatollah Divanpour2 | ||
| 1Kazerun Branch, Islamic Azad University | ||
| 2Shiraz Technical College, Technical and Vocational University | ||
| چکیده | ||
| The edge-degree distance of a simple connected graph $G$ is defined as the sum of the terms $\bigl(d(e\left|G\right.)+d(f\left|G\right.)\bigr)d(e,f\left|G\right.)$ over all unordered pairs $\{e,f\}$ of edges of $G$, where $d(e\left|G\right.)$ and $d(e,f\left|G\right.)$ denote the degree of the edge $e$ in $G$ and the distance between the edges $e$ and $f$ in $G$, respectively. In this paper, we study the behavior of two versions of the edge-degree distance under two graph products called splice and link. | ||
| کلیدواژه‌ها | ||
| Distance؛ degree؛ edge-degree distance؛ splice of graphs؛ link of graphs | ||
| مراجع | ||
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