Congenital bilateral macrostomia is a very rare deformity of the mouth,and it is still rarer to see cases of isolated bilateral macrostomia.Although the creation of a symmetric neocommissure is imperative,this present...Congenital bilateral macrostomia is a very rare deformity of the mouth,and it is still rarer to see cases of isolated bilateral macrostomia.Although the creation of a symmetric neocommissure is imperative,this presents a technical challenge.A review of the literature for surgical solutions revealed various techniques,but no cases in which a bilateral straight line repair was described and adopted.This report presents the case of a 3-month-old boy with isolated bilateral macrostomia for whom straight line closure was performed on both sides.At 1 year follow-up,the oral commissures are symmetric with aesthetically pleasing scars and no lateral migration.展开更多
We consider even factors with a bounded number of components in the n-times iterated line graphs L^n(G). We present a characterization of a simple graph G such that L^n(G) has an even factor with at most k components,...We consider even factors with a bounded number of components in the n-times iterated line graphs L^n(G). We present a characterization of a simple graph G such that L^n(G) has an even factor with at most k components, based on the existence of a certain type of subgraphs in G. Moreover, we use this result to give some upper bounds for the minimum number of components of even factors in L^n(G) and also show that the minimum number of components of even factors in L^n(G) is stable under the closure operation on a claw-free graph G, which extends some known results. Our results show that it seems to be NP-hard to determine the minimum number of components of even factors of iterated line graphs. We also propose some problems for further research.展开更多
文摘Congenital bilateral macrostomia is a very rare deformity of the mouth,and it is still rarer to see cases of isolated bilateral macrostomia.Although the creation of a symmetric neocommissure is imperative,this presents a technical challenge.A review of the literature for surgical solutions revealed various techniques,but no cases in which a bilateral straight line repair was described and adopted.This report presents the case of a 3-month-old boy with isolated bilateral macrostomia for whom straight line closure was performed on both sides.At 1 year follow-up,the oral commissures are symmetric with aesthetically pleasing scars and no lateral migration.
基金supported by National Natural Science Foundation of China (Grant Nos. 11471037 and 11171129)Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 20131101110048)
文摘We consider even factors with a bounded number of components in the n-times iterated line graphs L^n(G). We present a characterization of a simple graph G such that L^n(G) has an even factor with at most k components, based on the existence of a certain type of subgraphs in G. Moreover, we use this result to give some upper bounds for the minimum number of components of even factors in L^n(G) and also show that the minimum number of components of even factors in L^n(G) is stable under the closure operation on a claw-free graph G, which extends some known results. Our results show that it seems to be NP-hard to determine the minimum number of components of even factors of iterated line graphs. We also propose some problems for further research.
