en تخصصي Special پژوهشي Research paper <p>Let $G$ be a graph with vertex set $V(G)$ and edge set $E(G)$, a vertex labeling $f : V(G)rightarrow mathbb{Z}_2$ induces an edge labeling $ f^{+} : E(G)rightarrow mathbb{Z}_2$ defined by $f^{+}(xy) = f(x) + f(y)$, for each edge $ xyin E(G)$.&nbsp; For each $i in mathbb{Z}_2$, let $ v_{f}(i)=|{u in V(G) : f(u) = i}|$ and $e_{f^+}(i)=|{xyin E(G) : f^{+}(xy) = i}|$. A vertex labeling $f$ of a graph $G$ is said to be friendly if $| v_{f}(1)-v_{f}(0) | leq 1$. The friendly index set of the graph $G$, denoted by $FI(G)$, is defined as&nbsp; ${|e_{f^+}(1) - e_{f^+}(0)|$ : the vertex labeling $f$ is friendly$}$. The full friendly index set of the graph $G$, denoted by $FFI(G)$, is defined as ${e_{f^+}(1) - e_{f^+}(0)$ : the vertex labeling $f$ is friendly$}$. A graph $G$ is cordial if $-1, 0$ or $1in FFI(G)$. In this paper, by introducing labeling subgraph embeddings method, we determine the cordiality of a family of cubic graphs which are double-edge blow-up of $P_2times P_n, nge 2$. Consequently, we completely determined friendly index and full product cordial index sets of this family of graphs.</p> Vertex labeling, Full friendly index set, Cordiality, $P_2$-embeddings, $C_4$-embeddings. 79 92 http://ijmsi.ir/browse.php?a_code=A-10-2087-2&slc_lang=en&sid=1 Zh.-B. Gao gaozhenbin@aliyun.com 10031947532846007800 10031947532846007800 No College of Science, Harbin Engineering University, Harbin, 150001, P. R. China. R.-Y. Han 3213358692@qq.com 10031947532846007801 10031947532846007801 No College of Science, Harbin Engineering University, Harbin, 150001, P. R. China. S.-M. Lee sinminlee@gmail.com 10031947532846007802 10031947532846007802 No 1403, North First Avenue, Upland, CA 91786,USA. H.-N. Ren 1114912080@qq.com 10031947532846007803 10031947532846007803 No College of Science, Harbin Engineering University, Harbin, 150001, P. R. China. G.-Ch. Lau geeclau@yahoo.com 10031947532846007804 10031947532846007804 Yes Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA (Segamat Campus), 85000 Johor, Malaysia.