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CERTAIN GENERALIZED THORN GRAPHS AND THEIR WIENER INDICES
KM. Kathiresan,C. Parameswaran 한국전산응용수학회 2012 Journal of applied mathematics & informatics Vol.30 No.5
If G is any connected graph of order p; then the thorn graph G∗p with code (n1, n2, ... , np) is obtained by adding ni pendent vertices to each ith vertex of G: By treating the pendent edge of a thorn graph as P2, K2, K1, 1, K1 ◦K1 or P1 ◦K1, we generalize a thorn graph by replacing P2 by Pm, K2 by Km, K1, 1 by Km, n, K1 ◦ K1 by Km ◦ K1 and P1 ◦ K1by Pm ◦ K1 and their respective generalized thorn graphs are denoted by GP ;GK;GB;GKK and GPK respectively. Many chemical compounds can be treated as GP, GK, GB, GKK and GPK of some graphs in graph theory. In this paper, we obtain the bounds of the wiener index for these generalization of thorn graphs.
KM Ahsan Kabir,김서연,임원봉,김지선,고영종,김상우,오미라,오희균,최홍란,김옥준 대한구강악안면병리학회 2011 대한구강악안면병리학회지 Vol.35 No.6
Recurrence-metastasis status of squamous cell carcinoma of tongue is a challenging oncologic problem. This study examined the expression of E-cadherin/β-catenin cell adhesion complex in squamous cell carcinoma of the tongue through an immunohistochemical study. Twenty samples from 15 patients with squamous cell carcinoma of the tongue, who were treated at the Department of Oral and Maxillofacial Surgery, consisted of primary or recurrent tumors along with matched metastatic lymph nodes were retrieved for immunohistochemical staining and grouped based on recurrence-metastasis status.Differences in stain localization were noted in E-cadherin,β–catenin and phospho β–catenin staining between different tumor groups based on the recurrence-metastasis status. The number of phospho β-catenin stain positive cells was found to have a significant role in survival. E-cadherin confirms its role as a powerful individual differentiation indicator and the role of β-catenin specially the phospho type elicts interest.
편평상피세포암에서 E-cadherin/beta catenin 발현 및 예후, 전이, 재발에 미치는 영향
KM Ahsan Kabir,김서연,임원봉,김지선,고영종,김상우,오미라,오희균,최홍란,김옥준 대한구강악안면병리학회 2011 대한구강악안면병리학회지 Vol.35 No.6
Recurrence-metastasis status of squamous cell carcinoma of tongue is a challenging oncologic problem. This study examined the expression of E-cadherin/β-catenin cell adhesion complex in squamous cell carcinoma of the tongue through an immunohistochemical study. Twenty samples from 15 patients with squamous cell carcinoma of the tongue, who were treated at the Department of Oral and Maxillofacial Surgery, consisted of primary or recurrent tumors along with matched metastatic lymph nodes were retrieved for immunohistochemical staining and grouped based on recurrence-metastasis status.Differences in stain localization were noted in E-cadherin, β–catenin and phospho β–catenin staining between different tumor groups based on the recurrence-metastasis status. The number of phospho β-catenin stain positive cells was found to have a significant role in survival. E-cadherin confirms its role as a powerful individual differentiation indicator and the role of β-catenin specially the phospho type elicts interest