English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper, we characterize the set of spanning trees of$\mathcal{G}_{n,r}^1$ (a simple connected graph consisting of $n$ edges,containing exactly one $1$-edge-connected chain of $r$ cycles $\mathbb{C}_r^1$and $\mathcal{G}_{n,r}^{1}\setminus\mathbb{C}_r^1$ is a forest). We compute theHilbert series of the face ring $k[\Delta_s (\mathcal{G}_{n,r}^1)]$ for thespanning simplicial complex $\Delta_s (\mathcal{G}_{n,r}^1)$. Also, wecharacterize associated primes of the facet ideal $I_{\mathcal{F}} (\Delta_s(\mathcal{G}_{n,r}^1))$. Furthermore, we prove that the face ring$k[\Delta_s(\mathcal{G}_{n,r}^{1})]$ is Cohen-Macaulay.

Algebraic characterization of the SSC $\Delta_s(\mathcal{G}_{n,r}^{1})$